(10, 15) and (8,3). Write the equation of the line in slope-intercept
(y = mx + b) form.

(10, 15) And (8,3). Write The Equation Of The Line In Slope-intercept(y = Mx + B) Form.

Answers

Answer 1

Answer:

[tex]y=6x+-45[/tex]

Step-by-step explanation:

Given the following question:

Point A = (10, 15) = (x1, y1)
Point B = (8, 3) = (x2, y2)

To find the answer we first must find the slope which we will find by using the formula for slope or rise over run. Then we use the formula for slope intercept, substitute the values, and then solve for b.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{3-15}{8-10}[/tex]
[tex]3-15=-12[/tex]
[tex]8-10=-2[/tex]
[tex]=\frac{-12}{-2} =-12\div-2=6[/tex]
[tex]m=6[/tex]

Now we have the slope find the slope intercept:
[tex]y=mx+b[/tex]
[tex]y=15[/tex]
[tex]m=6[/tex]
[tex]x=10[/tex]
[tex]15=6(10)+b[/tex]
[tex]6\times10=60[/tex]
[tex]15=60+b[/tex]
[tex]60-60=0[/tex]
[tex]15-60=-45[/tex]
[tex]-45=b[/tex]
[tex]b=-45[/tex]
[tex]y=6x+-45[/tex]

Your answer is "y = 6x + -45."

Hope this helps.


Related Questions

Find the slope of the line that passes through (2, 7) and (6,4).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Step-by-step explanation:

line slope calculation formula: The difference of the second component is divided by the difference of the first component.

[tex] \frac{7 - 4}{2 - 6} = \frac{3}{ - 4} = - \frac{3}{4} = - 0.75[/tex]

The perimeter of a rectangle is 44 meters. Its width is 10 meters. What is the length of the rectangle
A. 10 meters
B. 12 meters
C. 14 meters
D. 34 meters

Answers

Answer:

its B because perimeter is width x2 + lenght x2 so 44=20+2x so that 2x is 24 so x/length is 12cm

Triangle ABC IS an isosceles
Form and solve an equation to find the value of t.
40 cm
2t + 5 cm
3t - 8 cm

Answers

Answer:

Step-by-step explanation:

The lengths of the sides of a triangle are 3t, 5t - 12, and t + 20 . a. Find the value(s) of that t make the triangle isosceles. b. Does any value of make the triangle equilateral?

As you can see, I have my subsidies trying out and, like, a lot of time president focused on assessing. Okay, so we need to figure out what seat for the size that we're giving you could put them in any order you want. So we're gonna try this order for us, and then we're gonna try. So we're gonna do you know that the inside of the a softly triangle in this out of this triangle are equal to each other. And when you add them together, there has to be greeted with this out of this. Had a trying. So we're first gonna do three t is equal to five t oneness. Well, arguments of drugs five from both sides fascinate this negative to t is equal to negative. After this, we could divide negative to on both sides to find out what see is to get T bites so tracked, divided by negative tune. And then we're gonna do t is equal to negative 12 of our negative to 6 36 So we're going to check our solution by plugging in six. So when we plug six into this equation, we're gonna gate 18 3 times six is 18. And when we plug six into this equation, we're gonna get five times six, which is dirty five times six is 30 and you're going to subtract. Told him 30 that gave to. And then we're gonna put 6 40 and we're gonna add it to Tony, which is 26. And then after this, we're gonna add these two 18 18 to figure it out if it's hired into 6 18 plus 18 is 36. So it's harder 26 c is equal to is equal to six. Like I said before, this is not the only order because switch up the sides with them in different places. So I'm gonna take away this side. I took a week this, and I'm gonna put I want to take with this ad too, and I'm in. I'm gonna put t this 20 this side and five C minus. Whoa, This Okay, so we're gonna do the same thing we did over here. We're gonna do three t is equal to C plus 25 because these two sides great. See? Do you see before? See e waas 20 first. We're going to subtract C from both sides we're gonna get to t is equal to finding. And then we're gonna divide to from both sides to get by itself. And, uh, an anti is equal to 10 because 20 the bottom right to it. So we also know that he gave me 10. So we're gonna plug 10 in today, San plus 10 times their times three is equal to this is dirty. And we also know we're gonna put 10 for this side. A tent was 20 is dirty also, it's an end times what? It's 50 When you subtract well, you get 36. No, you get 30 feet, you get 38 when you add 30 plus dirty is 60. So this works. So t is also equal to 10 and we're gonna switch up the order again. This sound this one, I believe this one. And also as you know, we're switching at the side, trying all the possible leads with right. Let's go drop this trying. So this side now will be treaty. And this I will be five c minus slow. We're gonna go. We're gonna do five minutes. 12 is equal to 10 is equal city plus 20 because we know these two sides has equal five feet on its 12. I just love equal See loose. Okay, As you can see, we're going to subtract, see from both sides. And I was going to or C and I'm going to do two steps at a time for gonna actual on this side to everything this tool to get rice on one side of the equation. So I'm gonna add so so both side, and it's gonna before C is equal to dirty, too. We're gonna divide both sides by four to get see bites. So four divided by 36 is line for teeth equal to nine. We're gonna plug that incident equation tee. Times five is nine times five is 45. We're gonna subject for from him that is equal to 32. 33 and then we're gonna do nine waas 20. So amid a misty 2012 is actually 32. So these so t is actually equal to eight because three times 32 divided by four is eight. And we're gonna redo this one because so eight times five is 40 eight times five is sporting. And when we take away Whoa. 40 minus 12 is 28 is doing a So we're gonna do and we're gonna put in April. See here too. This is gonna be a plus 20 which is 28. We're gonna plug in eight for decide eight times three is 24 24. And as you see, this is obviously lower. It's gonna be lowered, indecent. Act together. So, you know, seek and also equal to eight. So for the sausages triangle there. Three possible answers for teeth, depending on how you put the sides which side before, which in just it depend on how you put your sides for the collateral. We know that all of the size has to equal to one thing. And from this, the signs don't equal the same thing One of them is You could get two of them to equal to each other so you can get rid of the size to be able to the same thing. So for the equilateral triangle, it's not possible. So not

π + 3.14 × π + 3.14 ÷ 3.14 answers it if you want to also it pie

Answers

Answer:

14.006

Step-by-step explanation:

π + 3.14 × π + 3.14 ÷ 3.14

14.00619358

Rounded -

14.006

Let's see

We know π approximately. 3.14

[tex]\\ \rm\rightarrowtail \dfrac{\pi\pi(3.14)(3.14)}{3.14}[/tex]

[tex]\\ \rm\rightarrowtail \pi\pi(3.14)[/tex]

[tex]\\ \rm\rightarrowtail \pi^2(\pi)[/tex]

[tex]\\ \rm\rightarrowtail \pi^3[/tex]

PLEASE HELPPP kahsjahsjad I need help

Answers

Answer:

[tex]166\frac{2}{3} *x=y[/tex]

Step-by-step explanation:

[tex]\frac{500}{3} =166\frac{2}{3}[/tex]

Therefore, [tex]166\frac{2}{3} *x=y[/tex]

Let's find 2/3 + 1/5
first write the addition with a common denominator.
then add
2/3 + 1/5 =

Answers

Step-by-step explanation:

2/3 + 1/5= 2/15 + 1/15 =3/15 or 1/3

answer: 3/15 or 1/3

Use synthetic division to find the result when 4x^4 + 11x^3 + 17x^2 + x-9 is divided by x + 1.

Answers

Answer:

4x^3-26x^2+15x-3

Step-by-step explanation:

STEP 1:

Simplify   3/1

The equation at the end of step 1:

(4•(x3)-(26•(x2)+15x)-3

STEP 2:

The equation at the end of step 2:

(4 • (x3) -  (2•13x2)+ 15x) -  3

STEP 3:

The equation at the end of step 3:

(22x3 -  (2•13x2)+  15x) -  3

STEP 4:

Checking for a perfect cube

4.1    4x3-26x2+15x-3  is not a perfect cube

Trying to factor by pulling out :

4.2      Factoring:  4x3-26x2+15x-3

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  15x-3

Group 2:  4x3-26x2

Pull out from each group separately :

Group 1:   (5x-1) • (3)

Group 2:   (2x-13) • (2x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

4.3    Find roots (zeroes) of :       F(x) = 4x3-26x2+15x-3

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above-mentioned tools. It would only find Rational Roots that are numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  4  and the Trailing Constant is  -3.

The factor(s) are:

of the Leading Coefficient:  1,2,4

of the Trailing Constant:  1,3

Let us test...

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -48.00    

     -1       2        -0.50        -17.50    

     -1       4        -0.25        -8.44    

     -3       1        -3.00        -390.00    

     -3       2        -1.50        -97.50    

     -3       4        -0.75        -30.56    

     1       1        1.00        -10.00    

     1       2        0.50        -1.50    

     1       4        0.25        -0.81    

     3       1        3.00        -84.00    

     3       2        1.50        -25.50    

     3       4        0.75        -4.69    

Polynomial Roots Calculator found no rational roots

Final result :

4x3 - 26x2 + 15x - 3

will give brainliest need help asap! pls :)

Answers

Answer:

0.0001t^3-0.016t^2+0.21t+7.4

Step-by-step explanation:

I just added the equations for F and M together.

luke drives 35 mph for 5 miles. he then drives 80 mph for 30 seconds (0.0082 miles). what is his average speed?

ik the answer i just need to know how to do it

the answer is 55.56 mph

Answers

Answer:

Step-by-step explanation:

Average speed is total distance divided by total time.

The relation between time, speed, and distance is ...

  time = distance/speed

Total time

The time to travel 5 mi at 35 mi/h is ...

  time = (5 mi)/(35 mi/h) = 1/7 h

30 seconds is (30 s)/(3600 s/h) = 1/120 h, so the total time for this trip is ...

  1/7 +1/120 = (120 +7)/840 = 127/840 hours

Total distance

At 80 mph, the distance traveled in 1/120 hour is ...

  distance = speed × time = (80 mi/h)(120 h) = 2/3 mi

So, the total distance traveled is ...

  (5 mi) +(2/3 mi) = 17/3 mi

Average speed

The average speed is then ...

  speed = distance/time

  speed = (17/3 mi)/(127/840 h) = 17·840/(3·127) mi/h = 37 61/127 mi/h

The average speed is about 37.48 miles per hour.

_____

Additional comment

In order for the average speed to be 55.56 mph, the time spent at 80 mph would need to be about 7 minutes 12.6 seconds, for a distance at 80 mph of about 9.61 mi.

What is the product

(3a^2b^7)(5a^3b^8)

Answers

Answer:

15a^5b^15

Step-by-step explanation:

There's a law of indices which states that when multiplying numbers, if they are the same, the power just add up.

So here 3a^2*5a^3 = 3*5a^2+3, which equals to 15a^5.

As for the b part of the terms, b^7*b^8 = b^7+8, which equals to b^15.

I hope this makes sense.

Answer:

option number 3

Step-by-step explanation:

15a^ 5 b^ 15

Helpppppp ppppppp me

Answers

Answer:

Volume= 117 cm³, hope that helped

Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x − 8?
A.
It is the graph of y = x translated 8 units down.
B.
It is the graph of y = x translated 8 units up.
C.
It is the graph of y = x translated 8 units to the left.
D.
It is the graph of y = x where the slope is decreased by 8.

Answers

Answer:

Answer: B. It is the graph of y = x translated 8 units down.

Step-by-step explanation:

:)

         

Date : . The perimeter of Kite LIKE is 80 cm. The length of LI is 6cm less than Length of IK. Find the length of each side?

Answers

Answer:

lK = KE = 23cm

LI = LE = 27cm

Step-by-step explanation:

perimeter of kite LIKE =80cm

If IK=x cm

LI=(x-6) cm

Perimeter =2(a+b)

80 = 2(x+(x-6))

80 = 2(x+x-6)

80 = 2(2x-6)

80/2 = 2x-6

40 = 2x-6

2x = 40+6

2x = 46

x =46/2

x = 23

therefore,IK = 23cm

LI = 23-6 = 27cm

Possible
C_m_i_a_i_n_
Theoreticali
E_p_r_m_n_a_
What is the missing letters in Maths for Probability - Listing Outcomes?

Answers

Answer:

Last one is  EXPERIMENTAL

Step-by-step explanation:

Hope it helps!!!

Which of the following would have a negative impact on determining eligiblity for a home loan? a. Earning extra income b. Moving into a different apartment c. Paying off credit card debt d. Withdrawing money from savings Please select the best answer from the choices provided A B C D.

Answers

The withdrawing money from savings would have a negative impact on determining eligibility for a home loan.

What can create a negative impact on home loans?

If someone is looking for a home loan they should have money in their savings accounts. If they will withdraw the money from the saving accounts then how will they pay back their loans?

So they should not withdraw money and save as much as they can so that they can easily pay back their loans.

Thus withdrawing money from savings would have a negative impact on determining eligibility for a home loan.

To know more about home loans follow

https://brainly.com/question/11686424

Answer:

its D withdrawing money from savings

Step-by-step explanation:

How many solutions are there to this nonlinear system?
10
A. One solution
5
B. No solutions
C. Two solutions
X
-10
-5
5
10
-5
-10

Answers

Answer:

c ,two solutions

Step-by-step explanation:

I think I might be right

There no solution to this nonlinear system.

The correct option is B.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We know that the solution of the graph can be seen by x axis touching.

The number of points the curve touches the x axis, there are that number of solution for the curve.

Here the curve touches the x axis only at 0 point.

Thus, the solution of the Equation is No solution.

Learn more about Equation here:

https://brainly.com/question/29639126

#SPJ5

Karina walks outside two times per week for 35 minutes at a speed of 3.0 miles per hour. She wants to improve her intensity. What should she do

Answers

Answer: walk longer or faster

Step-by-step explanation:

she walks two times per week each for 35 mins

so she walks for 1:10 an our and ten mins a week

and she walks 3.0 miles per hour

so she walk a little over 3 mi a week

if she wants to ake it more intense she can walk for an hour each walk

Answer:

A. Walk at 3.5 miles per hour

Step-by-step explanation:

Intensity is how hard you work, so if she wants to improve her intensity she should walk at 3.5 miles per hour.

Hope this helps:)

If I have made a mistake please tell me, I enjoy learning from my mistakes:)

please help find the Volume of the sphere

Answers

Answer:

radius =8.2m

volume=4/3×22/7r×r×r

=4/3×22/7×8.2×8.2×8.2

=2309.56m

What is the result of
3-
5?
0
2
8
1
5
5

Answers

Answer:

-2 I guess, your question is poorly formatted

Step-by-step explanation:

3-5= -2

Tell whether the statement is always, sometimes, or never true. Explain.
The LCD of two rational expressions will have a degree greater than or equal to that of the denominator with the higher degree

Answers

The LCD of two rational expressions will have a degree greater than or equal to that of the denominator with the higher degree,

What is least common denominator (LCD)?

The least common denominator (LCD) of two rational expressions is the least common multiple (LCM) of the denominators. When adding or subtracting two rational expressions, the LCD is first determined before computation.

The LCD of two rational expressions will have a degree greater than or equal to that of the denominator with the higher degree,

Find out more on LCD at: https://brainly.com/question/24368819

A company maintains a fleet of vehicles that consist of both cars and trucks. The miles per gallon realized in the cars follows a normal distribution with mean of 30 and a standard deviation of 2 while the miles per gallon realized in the trucks follows a normal distribution with mean of 17 with a standard deviation of 3. Which distribution is more variable?
i. they have the same variability
ii. the mpg for the trucks
iii. the mpg for the cars
iv. there is insufficient information to answer the questions

Answers

Answer:

ii, the mpg for the trucks.

Step-by-step explanation:

A larger standard deviation means more variablilty

Determine whether each sequence is a geometric sequence If yes, Identify the common ratio
1. 4,12,36,108
2. 5,10,15,20
3. 120,-60,30,-15
4. -1,-4,16-64
5. 50,35,20
6. 625,125,25,5​

Answers

Answer:

yes = 1 3 6

no = 2 4 5

Step-by-step explanation:

Common ratios:

1 = 3

3 = -2

6 = 5

What is the value of x to the nearest tenth16. 3,6. 8,8. 6

Answers

Answer:

x = 73.4879

Step-by-step explanation:

Michael has x dollars saved. John has $18 more than Michael. Their friend Ian has $2 less than two-
thirds that Michael has. The total amount of money they have is $272. How much does Michael
have?

Answers

Answer:

$96

Step-by-step explanation:

Micheal's money = x

John's money = y

Ian's money = z

x + 18 = y

2/3x - 2 = z

x + y + z = $272

rearrange the equations we have:

2/3x = z + 2

x = 3/2(z + 2)

x = y - 18

Substitute y - 18 into x values:

3/2(z + 2) = y - 18

y - 18 + y + z = 272   --> 2y - 18 + z = 272

Solve for y:

Firstly rearrange

2y - 18 + z = 272    --> z = 272 + 18 - 2y, which simplifies to z = 290 - 2y

substitute into the formula:

3/2((290 - 2y) + 2) = y - 18

3/2(292 - 2y) = y - 18

438 - 3y = y - 18

4y = 456

y = $114

Substitute back into the formula to find z:

z = 290 - 2(114)

z = 290 - 228

z = $62

Put all of this back into one of the original formulas to find x:

x + y + z = 272

x + 114 + 62 = 272

x + 176 = 272

x = $96

Let,

Michael has = x dollarsJohn has = 18+xIan has = 2-2/3x

Total amount = $272

Now, ATQ

[tex] \tt \nrightarrow \: x + 18 + x + 2 - \frac{2}{3} x = 272[/tex]

[tex] \tt \nrightarrow \: 2x + 20- \frac{2}{3} x = 272[/tex]

[tex] \tt \nrightarrow \: 6x + 60 - 2x = 816[/tex]

[tex] \tt \nrightarrow \: 4x + 60 = 816[/tex]

[tex] \tt \nrightarrow \: 4x = 816 - 60[/tex]

[tex] \tt \nrightarrow \: 4x = 756[/tex]

[tex] \tt \nrightarrow \: x = 189[/tex]

Thus, Michael has $189...~

Find the measures of the interior angles of the triangle. Find A, B, C

Answers

Step-by-step explanation:

I am not sure what you mean by A, B, and C.

the picture does not name the corners or vertices.

but is seemingly asks for the angle x.

remember, the sum of all angles in any triangle is always 180°.

and the sum of all angles around one point on one side of a line is also 180° (as the line cuts a virtual circle in half with its center being the point around which the angles rotate).

when we know all angles except for one, we call the missing angle a supplementary angle (fills up to 180°).

if the angle fills up to 90°, we call that a complementary angle.

so, now look at the triangle. we know 2 angles : the right angle (90°) and the 38° angle.

so, the third angle down left must be

180 - 90 - 38 = 52°

and x is the supplementary angle to 52° :

x = 180 - 52 = 128°

Hiep's yard is in the shape of a trapezoid. The lengths of the parallel sides of the trapezoid are 15 feet and 21 feet. The height of the trapezoid is 8 feet. What is the area of Hiep's yard? Enter your answer in the box. ft2​

Answers

Answer:

144 ft squared

Step-by-step explanation:

Answer:

The answer is: 144 ft squared.

Step-by-step explanation:

Just got done with the (K12)  quiz and this was right.

Write an equation of the line passing through the points (4,6) and (-2, - 18).

Answers

Answer:

y = 4x – 10

Step-by-step explanation:

slope formula: [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

point-slope formula: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

Use slope formula and plug in your numbers: [tex]m = \frac{-18-6}{-2-4 }[/tex]Solve for slope [tex]m = 4[/tex]Use the point-slope formula to solve for the equation: [tex]y-6=4\left(x-4\right)[/tex]Solve and find equation: [tex]y=4x-10[/tex]

Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!

Hope this helps! Please give Brainliest!

ASAP help plsss!!
Is the following graph proportional? How do you know?

Answers

Answer:

it’s is because it’s linear and going up

Step-by-step explanation:

if trapezium of area 140 cm horsepower sides 10 cm apart and one of them decides is 16 cm longfind the area find the length of the sother side ​

Answers

Given :

Area of the trapezium is 140 cm².Its height is 10 cm.One of the parallel side is 16 cm.

To Find :

The other parallel side.

Solution :

Let the other parallel side be x

We know that,

[tex]{ \qquad \: \pmb{ \dfrac{1}{2} \times (sum \: of \: the \: parallel \: sides) \times height} = \pmb{Area_{(trapezium)}}}[/tex]

Now, Substituting the given values in the formula :

[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{1}{2} \times (16 + x)\: \times 10 \: = {140}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 5 \times (16 + x)\ \: = {140}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 80 + 5x = {140}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 5x = {140 - 80}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 5x = {60}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ x = { \dfrac{60}{5} }}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \pmb{ x = { 12 }}}}[/tex]

Therefore,

The other parallel side of the trapezium is 12 cm.

Sarah described the following situation:

When one patient with a common cold takes a medicine and the other patient does not take any medicine, the person who takes medicine recovers faster than the person who does not take medicine.

Which of the following best describes the situation? (1 point)

Group of answer choices

This is an example of both correlation and causation.

This is an example of neither correlation nor causation.

This is an example of correlation.

This is an example of causation.

Answers

Answer:

5 choice, This is an example of causation.

Step-by-step explanation:

The first patient was given medicine that resulted in his recovery, but the second patient was not given medicine that resulted in his non-recovery.

Other Questions
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