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denpristay [2]
4 years ago
8

What is the equation of the line that passes through the points (−3, 2) and (−5, 8)?

Mathematics
1 answer:
Karo-lina-s [1.5K]4 years ago
3 0

Answer:

The equation of the line is y = -3x - 7

Step-by-step explanation:

To find the equation of the line, we first need the slope. We can get that by using the slope formula.

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

m = (8 - 2)/(-5 - -3)

m = (8 - 2)/(-5 + 3)

m = 6/-2

m = -3

Now that we have the slope, we use the slope and the given point in point-slope form. Then we solve for y.

y - y1 = m(x - x1)

y - 2 = -3(x + 3)

y - 2 = -3x - 9

y = -3x - 7

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Please help! Identify the rule! Will give brainiest!!
pychu [463]

Answer:

  y = 3x -1

Step-by-step explanation:

When x goes up 2 units from 5 to 7, y goes up 6 units, from 14 to 20. That's 3 times as many units as the change in x.

When x goes up 4 units from 7 to 11, you goes up 12 units, from 30 to 32. That's 3 times as many units as the change in x.

So, the slope of the function is constant at 3. If y were 3x exactly, the output numbers would be 15, 21, 33, each of which is 1 higher than the actual output. Hence the output must be one less than 3x, or ...

  y = 3x -1

3 0
3 years ago
How do you convert 250% into a fraction
Ann [662]
Hello there.

Question: <span>How do you convert 250% into a fraction.

Answer: </span>Step 1: Factor both the numerator and denominator down to prime factors:
250 = 2 * 53 
100 = 22 * 52
Step 2: Calculate the greatest common factor, GCF 
GCF = (2 * 53; 22 * 52) = 2 * 52 
Step 3: Divide both the numerator and denominator by their greatest common factor, 250/100 =
(2 * 53)/(22 * 52) = 
<span>((2 * 53) : (2 * 52))</span> / <span>((22 * 52) : (2 * 52))</span> =
5/2
Ways of writing this:

<span>Positive improper fraction: 
250/100 = 5/2 

Mixed number (also called mixed fraction): 
250/100 = 2 1/2 

Decimal number: 
250/100 = 2.5

In short, Your answer is<span> 5/2</span>.

Hope This Helps You!
<span>Good Luck Studying ^-^</span></span>
6 0
4 years ago
Dionne can fold 175 packing boxes in 50 mìnutes. Elias can fold 120 packing boxes in 40 minutes. How long will it take each pers
Gre4nikov [31]
<h2>Dionne will fold 210 packing boxes in "60 mìnutes" and</h2><h2>Elias will fold 210 packing boxes in "70 mìnutes".</h2>

Step-by-step explanation:

Given,

Dionne can fold 175 packing boxes = 50 mìnute and

Elias can fold 120 packing boxes = 40 minutes

To find, the total time each person to fold 210 packing boxes = ?

∵ Dionne can fold 175 packing boxes = 50 mìnute

∴ In 1 mìnute, Dionne can fold number of packing boxes = \dfrac{175}{50} = 3.5

∴  Dionne can fold 210 packing boxes = \dfrac{210}{3.5} minutes

= 60 minutes

Also,

Elias can fold 120 packing boxes = 40 minutes

∴ In 1 mìnute, Elias can fold number of packing boxes = \dfrac{120}{40} = 3

∴  Elias can fold 210 packing boxes = \dfrac{210}{3} minutes

= 70 minutes

Thus, Dionne will fold 210 packing boxes in "60 mìnutes" and

Elias will fold 210 packing boxes in "70 mìnutes".

8 0
3 years ago
What is the solution to the compound inequality? -8&lt; 2x-4&lt;2
DanielleElmas [232]

Answer:

–2 < x < 3

Step-by-step explanation:

–8 < 2x – 4 < 2

Add 4 to all parts:

–8 + 4 < 2x – 4 + 4 < 2 + 4

Simplify:

–4 < 2x < 6

Divide all parts by 2:

(–4 ÷ 2) < (2x ÷ 2) < (6 ÷ 2)

Simplify:

–2 < x < 3

4 0
3 years ago
What equation relates the distance, y, and the time, x? ​
seraphim [82]

9514 1404 393

Answer:

  y = 15x

Step-by-step explanation:

You can identify the slope (constant of proportionality) by finding y when x = 1. That value is 15. It goes into the equation as the coefficient of x.

  y = 15x

5 0
3 years ago
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