Write the equation of the line that goes through the points (-3,5) and (6,-1).

Answers

Answer 1

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

= 5 -(-1) / -3-6

= 6/-9

= -2/3

(y - y1) = m(x - x1)

y -(-1) = -2/3(x - 6)

y + 1 = -2/3x + 4

y = -2/3x + 3


Related Questions

y=-⅓x+4 what is this treasure of change?
Please Help!​

Answers

Answer:

-1/3

Step-by-step explanation:(if treasure of change is "rate of change")

Equation of a line: mx + b

m=-1/3: slope

b: y-intercept

^Whenever working with an equation of slope/rate of change the above variables have specific meanings.

Slope is another term for rate of change so the rate of change would be -1/3.

m=-1/3=slope/rate of change

b=4=y intercept

Consider an urn with 7 black balls, 3 yellow balls, and 4 orange balls. If 3 balls are chosen randomly with replacement, what is the probability that the first is yellow, the second is orange, and the third is orange

Answers

Answer:

1.79% chance or [tex]\frac{6}{343}[/tex]

Step-by-step explanation:

7+3+4=14

chance of yellow [tex]\frac{3}{14}[/tex]

chance of orange [tex]\frac{4}{14}[/tex]

[tex]\frac{3}{14} * \frac{4}{14} *\frac{4}{14} = \frac{6}{343}[/tex]

24 candy bars cost $48.
How much do 10
candy bars cost?

Answers

Answer: $20

$48/24 = $2 for each candy bar

10 candy bars * $2 = $20

Find the volume of the cylinder. Enter the answer EXACTLY as it appears on
your calculator. NO ROUNDING this time.

Answers

Answer:

653.45

Step-by-step explanation:

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Based on the linear regression equation, the intercept means that for 0 missed classes, the expected test score is 98✓

we know that,

y intercept exist when x = 0

so,

⇢y = -4x +98

⇢y = -4 x 0 +98

⇢y = 98

so , the expected test score is 98

Based on the linear regression equation, the slope means that for every missed class, the expected tast score decreases by 4 points✓

when x = 0

y = -4(0) +98

when x = 1

y= -4(1) +98 = 94

when x = 2

y= -4(2) +98 = 90

we can see the decresement of 4 points

Based on the linear regression equation, as the number of days a student misses class increases the expected test score decreases ✓

We can see that the increament in absent days lead to lower scores ( one class = 4 points)

y=-4x+98

For 0 clases

y=-0+98=98

Option A is certified as correct

Here slope is -4

So it decreasing not increasing

Option C is correct

Yes as the missed classes increase expected test decreasing as slope is negative.

Option F is correct

Find the volume of the prism.

A) 216 km
B) 109 km
C) 113 km
D) 152 km

Answers

Left side traingle:-

B=6kmH=8Km

Area=

[tex]\\ \rm{:}\dashrightarrow \dfrac{1}{2}BH=\dfrac{1}{2}(6)(8)=4(6)=24km^2[/tex]

Now

Volume:-

Area of base×Height24(9)216km^3

Your odometer reads 4,261 miles. You drive your car until the odometer reads 4,751 and your car used 25 gallons of gasoline during the trip.
About how many miles per gallon has your car been getting? Round up to the highest ten.

20
35
170
190

Answers

Answer:

35 gallons.

Step-by-step explanation:

Why? Bc it is the closest 4,751

Decide which of the following is a reasonable answer for 7/5 x 7. pls help
7/5
7
9 4/5

Answers

It would be 7.

The equation would look like:
7/5 x 5/1 or..

7 x 5
——-
5 x 1

= 35/5
= 7

please help!!
Determine the five-number summary for the data set. 20, 26, 18, 31, 22, 28, 30

Answers

Answer:

min = 18Q1 = 20median = 26Q3 = 30max = 31

====================================================

Explanation:

The first task is to sort the items given.

The sorted set is {18, 20, 22, 26, 28, 30, 31}

There are 7 values in that set. The median is going to be in slot 4 because n/2 = 7/2 = 3.5 rounds to 4.

The value in slot 4 is 26, meaning the median is 26.

There are 3 values below the median, and 3 values above it.

L = lower set = items below the median

L = {18,20,22}

U = upper set = items above the median

U = {28,30,31}

The median of set L is 20, showing that Q1 = 20 is the first quartile.

The median of set U is 30, meaning Q3 = 30 is the third quartile.

The min and max are exactly what they sound like: they are the smallest and largest items. In this case, we have min = 18 and max = 31.

50 POINTS!
The two main parts of an equation in Slope-Intercept Forrn are the Slope and the Y-Intercept.

A. True

B. False

Answers

Answer:

A

Step-by-step explanation:

A group of students must collect at least $150 to organize a science fair. They have already collected $30. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair?

Number line graph with a closed circle on 120 and shading to the right.
Number line graph with a closed circle on 30 and shading to the right.
Number line graph with a closed circle on 150 and shading to the right.
Number line graph with a closed circle on 180 and shading to the right.

Answers

Answer:

Number line graph with a closed circle on 120 and shading to the right.

Step-by-step explanation:

Because they have collected 30 dollars already and must collect at least 150 dollars, the closed circle would go on 120, going to the right. (150-30=120)

what is 9+10 -129×5÷232²32×400÷23

Answers

Answer: 9 + 10 = 19

-129 x 5 =  -645

232 exponent of 2 = 53,824

32 x 400  = 12,800

400 / 23 = 17

53,824 + 12,800 + -645 + 19 + 17 = 66015

Step-by-step explanation:

Directions: Express the number in scientific notation.
The human eye blinks an average of 4,200,000
times a year.

Answers

Answer:

count how many time you need to move the decimal point to only have 1 number on the left

4,200,000 = 6 times

4.2 × 10^6

Part A: What do the x-intercepts and maximum value of the graph represent in context of the described situation?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit for the company in the situation described?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent in
context of the described situation?

Answers

The x intercept of the given graph of the company's profit is where the curve of the graph crosses the x-axis.

How to determine the x-intercept

In this figure, the graph crosses the x-axis at x = 0 and x = 6

This represents the profit is 0 when the price is $0 and $6, respectively

The maximum value

This represents the maximum profit that can be made.

From the graph, the maximum profit is $120

The increasing and the decreasing interval

From the graph, the graph increases from x = 0 to x = x = 3, and it decreases from x = 3 to x = 6

These intervals represent when the profit increases, and when it decreases

The average rate of change

This is calculated as:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

So, we have:

[tex]m = \frac{f(3) - f(1)}{3 - 1}[/tex]

[tex]m = \frac{f(3) - f(1)}{2}[/tex]

Substitute known values

[tex]m = \frac{120 - 60}{2}[/tex]

[tex]m = \frac{60}{2}[/tex]

Simplify

[tex]m = 30[/tex]

Hence, the average rate of change from x = 1 to x = 3 is a profit of $30 per unit sale

Read more about functions and graphs at:

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Jeff had 1 A,4Bs and 2 C's what was he's gpa

Answers

Answer:

Hes Gpa Is that man is good. helps :0

Step-by-step explanation:

In a toy​ store, the ratio of the number of teddy bears to the number of dolls is 7:3 . If the store has 140 teddy bears ​, how many dolls are in the​ store?

Answers

Answer:

I prefer to set their units in order so it can help me;

Bears/Dolls

7 Bears     140 bears

_______ = _______

3 Dolls               x

⇒ 7 Bears   x20  140 bears

   _______    =    _______ , 3(20) = 60 Dolls

    3 Dolls     x20         x

PLEASE HURRY I NEED HELP

Answers

Answer:

I think 58% I’m not 100% sure but yea

Step-by-step explanation:

I divided the number of votes for printed 71 by the total number of votes 122 so 71/122=.58 58%

Larry is preparing jars of tomatoes from his garden. Each of his three sisters has asked for at least two jars of tomatoes, and Larry needs at least five jars for himself. i need help right now

Answers

if i tell you the truth i dont even know

Let g(x) = 3(x - 6)^2 + 1. Find the range of $g$.

Answers

Answer:

[1,∞)

Step-by-step explanation:

Let's try to plug in some numbers.

When solving a problem fo range, the best place to start is where you can let the (x - b) part = 0.

This is what I mean

3(x-6)² + 1

Let x = 6

3(0)² + 1 = 1

Look how we have a 0 inside the parentheses.

That's what I mean.

Now let's try using terms smaller than 6.

Now, let's try plugging in 5

3(-1)² + 1 = 4

Now try plugging in 4

3(-2)² + 1 = 13

Looks like we will just keep going up.

Now let's try using terms bigger than 6.

Plugging in 7

3(1)² + 1 = 4

Plugging in 8

3(2)² + 1 = 13

We just go up both ways because of the x squared term.

So our smallest value is at x = 6 where we have y = 1.

If we go either direction forever to the right or left the terms to get bigger, where it approaches infinity.

So, 1 will have parentheses as it can be reached and infinity will have parentheses as it is unreachable and goes on forever.

[1,∞)

A) 22.4
B) 43.7
C) 85.3
D) 4.75

Answers

The answer is approximately b and the wrong answers are A C and D you’re welcome make sure you give me 5 stars

Answer:

its should be b

Step-by-step explanation

mark brainlist

Which expressions represent the total area of the large rectangle.

Answers

Answer:

a, c, and e represent the total area

Answer:

(m+n)*6

Step-by-step explanation:

The total area of a rectangle= length*breath

So using this,

Length (l)=n+m

Breath (b)= 6

We know that,

Area of rectangle (A)=l*b

=(n+m)*6

=(n+m)6

There are 135 people in a sport centre.
73 people use the gym.
59 people use the swimming pool.
31 people use the track.
19 people use the gym and the pool.
9 people use the pool and the track.
16 people use the gym and the track.
4 people use all three facilities.
Given that a randomly selected person uses at least two facilities, what is the probability they
use all the facilities?

Answers

Answer:

1/9

Step-by-step explanation:

4 people use all three facilities, then

16 - 4 = 12 people use the gym and the track and do not use the pool;

9 - 4 = 5 people use the pool and the track and do not use the gym;

19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is 4/36 which is equivalent to 1/9

73:59:31:19:9:16:4
the probability of using 2 would be 8

Multiply: (3xl-5)(-x + 4)
)+
Applying the distributive property, the expression becomes (3x)(-x) + (3x)(4) + (-5)(-x) + (-5)(4).
What is the simplified product in standard form?
px +
62 +

Answers

Answer:

Step-by-step explanation:

Multiply: (3x - 5)(-x + 4)

By applying the distributive property,

(3x - 5)(-x + 4)

= (3x)(-x) + (3x)(4) - (5)(-x) - (5)(4)

= -3x^2 + 12x + 5x - 20

= -3x^2 + 17x - 20

That is the simplified product in standard form.

Let's see

[tex]\\ \rm\longmapsto (3x-5)(-x+4)[/tex]

a(b+c)=ab-bc

[tex]\\ \rm\longmapsto 3x(-x+4)-5(-x+4)[/tex]

[tex]\\ \rm\longmapsto -3x^2+12x+5x-20[/tex]

[tex]\\ \rm\longmapsto -3x^2+17x-20[/tex]

HELP PLEASE i will give 25

Answers

Answer:

130°

.....

....................

What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation.

Answers

The opposite operation of squaring is to find the square root. I dunno what the original equation is so I can’t help with that

How are the two shapes
similar?

Answers

Answer:

they arent

Step-by-step explanation:

maybe height or width

i dunno

I need help getting the answer for this one. Thank you

Answers

The next step is to to construct a line through point R  is the option;

Place the compass on point T. without changing the setting from the previous step, draw a small arc above [tex]\overleftrightarrow{ST}[/tex]

What are the steps to construct a perpendicular to a line?

The steps to  construct a perpendicular through the point R are;

Place the compass at point R and draw an arc intersecting the line ST at the point S and T.

Place the compass at point S and draw the arc given in the drawing.

Place the arc at point T and without changing the setting draw an arc above the line ST to intersect the previous arc.

Join the point of intersection of the arcs to the point R to complete the construction of the perpendicular to the line ST passing through R

The step that should be taken next to construct a line through point R that is perpendicular to [tex]\overleftrightarrow{ST}[/tex] is therefore;

Place the compass on point T. without changing the setting from the previous step, draw a small arc above [tex]\overleftrightarrow{ST}[/tex]

Learn more about how to carry out geometric constructions here:

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- Simplify (3x - 5) + (5x + 1). O 8x - 6 O 8x +4 - O 8x - 4 O 2x - 4​

Answers

Answer:

8x - 4

Step-by-step explanation:

3x - 5 + 5x + 1

8x - 4

the answer is 8x-4 because
3x+-5+5x+1
=(3x+5x)+(-5+1)
=8X+-4

Write the algebraic representation when the
scale factor is 8.

Answers

hi, the answer is (8x, 8y)

i need help with this​

Answers

Since angle 163 is obtuse we can subtract that from 180 since an obtuse angle + and acute angle with equal 180.
So 180-163 = 17!

Answer: 17 degrees

Step-by-step explanation: Because you have angle A= 163, you can tell that angle B is 17 degrees (sum of angles on one side of a straight line add up to 180). Line M and line N are parallel, so they have corresponding angles, making angle B and angle X are the same. See picture attached for my diagram :). hope this helped!

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