Find the slope of the line between the points (-1, 3) and (5, 11).
Is the point (-4, -1) on the same line as the other two points? Use slope to justify your answer.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:3\right),\:\\\left(x_2,\:y_2\right)=\left(5,\:11\right)\\\\m=\frac{11-3}{5-\left(-1\right)}\\\\m =\frac{11-3}{5+1}\\\\m=\frac{8}{6}\\\\Simplify\\\\m=\frac{11-3}{5-\left(-1\right)}[/tex]

Yes  (-4, -1)  is on the same line with the other wo points.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\\\mathrm{Slope\:}\left(-4,\:-1\right),\:\left(5,\:11\right)\\\left(x_1,\:y_1\right)=\left(-4,\:-1\right),\:\\\left(x_2,\:y_2\right)=\left(5,\:11\right)\\\\m=\frac{11-\left(-1\right)}{5-\left(-4\right)}\\\\Simplify\\m=\frac{4}{3}\\\\\mathrm{Slope\:}\left(-1,\:3\right),\:\left(-4,\:-1\right)\\\\\left(x_1,\:y_1\right)=\left(-1,\:3\right),\:\\\left(x_2,\:y_2\right)=\left(-4,\:-1\right)\\\\m=\frac{-1-3}{-4-\left(-1\right)}\\\\Simplify\\\\m=\frac{4}{3}[/tex]


Related Questions

Mr. Desario wrote the equation y = −3x + 7 on the board and drew the graph shown below.

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Answer:

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Step-by-step explanation:

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Answer:

A

move the numbers around and you'll get it

Find the area of the figure. (Sides meet at right angles.)
3 in
s in
5 in
9 in
8 in

Answers

Answer:

Area is 69 in^2

Step-by-step explanation:

the big square is 9*9=81

the small rectangle is 4*3=12

81- 12= 69 in^2

The Area Is 69.......

How can we create equations in two variables to represent relationships between quantities

Answers

Answer:

Create equations in two or more variables to represent relationships between quantities (linear functions) Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Step-by-step explanation:

-5x - 5y = 10 ???
6x + 3y = -30 ????
4x + y = -2 ??
x + y = 1 ???
what is X and Y !!

Answers

Well you can’t if you can’t figure out what x and y is then it’s an equivalent expression so x and y are 1

You have a 20% off coupon to use at the store. Your total was $80 before the discount. H
ow much do you need to pay?
A) $16.
B) $60.
C) $64.
D) $100​

Answers

Answer:

C) $64

Step-by-step explanation:

(80 x 20)/100 = $16.00

Final Price:

80 - 16.00 = $64.00

Determine the slope of the line that passes through the points M(-3,5) and N(1,8). Represent the slope in decimal form.

Answers

Answer:

0.75

Step-by-step explanation:

y²-y¹/x²-x¹

8-5/1-(-3)

3/4

=0.75

I'll really appreciate it if you give me the answers ​

Answers

Answer:

1: A: -13,10 B: -11,10 C: -10,12 D: -13,11

2: P: 4,6 Q: 6,6 R: 7,8 S: 4,8

Step-by-step explanation:

So I want you to try this method for the rest of the questions so you still learn. All you have to do is add the number it is asking if it is UP, or RIGHT (POSITIVE) , and subtract the number if it is DOWN, or LEFT (NEGATIVE). Please give me brainiest.

Pls help me answer this quick!!

Answers

Answer:

line 1 and 2 I think sorry if I'm wrong

How many times larger is 6×10 to the power of 6 than 3×10 to the power of 5

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sir im sry to tell u this but, Y ARENT U SUBBED TO PEWDIEPIE U NERD

The radius of the moon is approximately 1,350,000 m. What is the radius in kilometers? (1 km=1000m)

Answers

Answer:

I believe it is 1,350 but i am not completely sure

Step-by-step explanation:

The radius of the moon in Kilometers is 1350 km.

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Unit conversion is a multi-step procedure that involves adding, subtracting, multiplying, or dividing by a conversion factor. Additionally, rounding and choosing the appropriate number of significant digits may be necessary during the process. To measure various parameters, various units of conversion are utilized.

Given that the radius of the moon is approximately 1,350,000 m. The radius in kilometers will be calculated as,

1 km = 1000m

1 m = 1 / 1000 km

1350000 meters = 1350000 / 1000 km

1350000 meters = 1350 km

To know more about unit conversion follow

https://brainly.com/question/17439962

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5.
As shown in the diagram below, lines m and n are
cut by transversal p.
р
m
n
7
2
If mZ1 = 4x + 14 and mZ2 = 8x + 10, lines m
and n are parallel when x equals
A. 1
B. 6
C. 13
D. 17

Answers

The value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

As we can see in the figure, the lines m and n are cut by transversal p.

Then the sum of angles mZ1 and mZ2 is equal to 180 degree.

4x + 14 +8x + 10 = 180

12x + 24 = 180

12x = 156

x = 13

Thus, the value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.

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9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?

Answers

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[tex]f(x) = 5x - 4[/tex]

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[tex]f(2a) = 5(2a) - 4[/tex]

[tex]f(2a) = 10a - 4[/tex]

[tex]156 = 10a - 4[/tex]

[tex]10a - 4 = 156[/tex]

Add sides 4

[tex]10a - 4 + 4 = 156 + 4[/tex]

[tex]10a = 160[/tex]

Divide sides by 10

[tex] \frac{10a}{10} = \frac{160}{10} \\ [/tex]

[tex]a = 16[/tex]

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Which situation represents a proportional function? A. Melissa's cell phone plan charges two cents a minute plus a $10 monthly fee. B. Sandra's cell phone plan charges seven cents a minute. C. Holly's cell phone plan charges five cents per minute. She also receives a $5 discount each month. D. Alicia's cell phone plan charges six cents per minute plus a $5 monthly fee.

Answers

Step by step explanation

let x be the number of minutes and y be the total charges per month

A. Melissa's cell phone plan charges two cents a minute plus a $10 monthly fee.

y=0.02x+10

B. Sandra's cell phone plan charges seven cents a minute.

y=0.07x

C. Holly's cell phone plan charges five cents per minute. She also receives a $5 discount each month.

y=0.05x-5

D. Alicia's cell phone plan charges six cents per minute plus a $5 monthly fee.

y=0.06x+5

If water flows through a pipe at a rate of 6 milliliters per hour, how wil I express this rate of flow in pints per day?

Answers

Answer:

0.304 pints per day

Step-by-step explanation:

Here, we want convert

if 6 milliliters flow in an hour , then in a day which is 24 hours, the amount that will flow is 24 * 6 = 144 milliliters in a day

so we need to convert this to pint

mathematically;

1 pints= 473.176 ml

x pints = 144 ml

x =

144/473.16 = 0.304 pints per day

Sam has started mowing lawns to save money for a new bike that costs $190. He charges $20 per hour for mowing lawns, and $35 per hour for gardening. However, he has to pay his dad $120 for the use of his lawnmower. Which of the following equations could be used to find the number of hours Sam has to work to buy his bike if m represents the number of hours he mows lawns, and g represents the number of hours he spends gardening? Group of answer choices

Answers

Answer:

310 = 20m + 35g

Step-by-step explanation:

As per give we have

Earning = 20m + 35gSpending =$120Target amount = $190

The equation to consider all is

190 = 20m + 35g - 120 ⇒ 310 = 20m + 35g

So correct option is the second one

Answer:

310=20m+35g

Step-by-step explanation:

i just took the test and got it right.

NEED HELP ASAP
FIND X AND Y
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Answers

Answer:

X=3  Y=12

Step-by-step explanation:

sorry if i got it wrong xp

PLEASE HELP LINEAR EQUATIONS!!
3(2x-5)=-15

Answers

Answer:

x=0

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

3(2x−5)=−15

Step 1: Simplify both sides of the equation.

3(2x−5)=−15

(3)(2x)+(3)(−5)=−15(Distribute)

6x+−15=−15

6x−15=−15

Step 2: Add 15 to both sides.

6x−15+15=−15+15

6x=0

Step 3: Divide both sides by 6.

6x/6 = 0/6

x=0

Hope this helps :)

Answer:

2x-5= -3x times(x) 3 is -9

Step-by-step explanation:

PEMDAS

Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to
find his pay.
Hours
1
1.5
2
2.5
3
Pay
18
23
28
33
38
A. f(x) = 10x + 8
B. f(x) = 15x + 3
O
C. f(x) = 0.5x + 1
D. f(x) = x + 18

Answers

Answer:

A. [tex] f(x) = 10x + 8 [/tex]

Step-by-step explanation:

The equation in slope-intercept form, [tex] f(x) = mx + b [/tex], can be created to be used in finding Jack's pay. We need to find the slope (m) and the y-intercept (b) of the linear function.

Using two points (1, 18), and (1.5, 23), find the slope (m):

Slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 [/tex]

Find b, by substituting x = 1, f(x) = 18, and m = 10 into [tex] f(x) = mx + b [/tex].

[tex] 18 = (10)(1) + b [/tex]

[tex] 18 = 10 + b [/tex]

Subtract 10 from each side

[tex] 18 - 10 = b [/tex]

[tex] 8 = b [/tex]

[tex] b = 8 [/tex]

Substitute m = 10 and b = 8 into [tex] f(x) = mx + b [/tex].

✅Thus, the linear function that can be used to find Jack's pay would be:

[tex] f(x) = 10x + 8 [/tex]

One end of a line segment has the coordinates (1, 3). If the
middle point is (5,8), then what are the coordinates of the
other endpoint?
A (3,5.5)
B (9, 12)
C (12,5)
D (9, 13)

Answers

Answer:

the answer is the letter D

Find the volume of a pyramid with a square base, where the side length of the base is 4.8\text{ cm}4.8 cm and the height of the pyramid is 4.6\text{ cm}4.6 cm

Answers

Answer: 35.328 cubic inches.

Step-by-step explanation:

Volume of square pyramid = [tex]\dfrac{a^2}{3}h[/tex] , where a = length of base , h = height

Given: For a square pyramid

a= 4.8 cm and h = 4.6

Then, Volume = [tex]\dfrac{4.8^2}{3}\times4.6[/tex]

[tex]=\dfrac{23.04}{3}\times4.6\\\\=35.328\text{ cubic cm}[/tex]

Hence, the volume of a pyramid with a square base = 35.328 cubic inches.

Answer:

50.8

Step-by-step explanation:

Helpp pls it’s 25 points each

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Answer:

1.= 2.5

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Step-by-step explanation:

The table shows a linear function.

Which equation represents the function?

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You have a great day and you can


[tex]\pi - 1[/tex]
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Irrational
because pi is an infinite number and subtracting 1 doesn’t really change the fact that it’s infinite/irrational

HELP ME PLEASE 40 POINTS

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Answer: abd=50

Step-by-step explanation: bc angel 3 is 80 that means angel 2 is one hundred and abc is the same as angel tow because the two lines are so ABC is 100 and line segment BC is bisecting ABC so you divide ABC by two and get 50  

who walks at a faster rate: someone who walks 60ft in 10sec or someone who walks 42ft in 6sec

Answers

Answer:

42 ft in 6 seconds

Step-by-step explanation:

The person whom walks a greater distance in lees time is faster

PLZZZ HELPP ITSS A EXAMMM
What is the fiftieth term of the arithmetic sequence 3, 7, 11, 15, ... ?

A.199
B.151
C.53
D.203

Answers

Answer:

If i did the math correctly it should be 199.

If the point (2,3) lies on the line 4y = ax +5 , then a -
(a) 7/2
(b) 1
(o) -2
(d) none of these​

Answers

Answer:

B

Step-by-step explanation:

Evaluate.

33+1⋅9+12

please help!

Answers

54 is ur answer :)))))))
Your answer is 46.9

plz mark brainliest

John gets 1 question incorrect for every 15 questions. How many questions will he get correct & incorrect if he had to answer 25 questions?​

Answers

Answer:

2

Step-by-step explanation:

15+15 is 25 and for every 15 questions he gets 1 wrong so he got 2 wrong

John will fail.

John will fail.

John will fail.

John will fail.

John will fail.

John will fail.

John will fail.

John will fail.

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