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Marizza181 [45]
2 years ago
6

5. Find the equation of the line that goes through the points (4,7) and (-2,-5)

Mathematics
1 answer:
Lelechka [254]2 years ago
8 0

Answer:

equation= y-y¹=m(x-x¹)

where m= gradient or slope

slope = <u>y²-y¹</u>

x²-x¹

= -<u>5-7</u>

-2-4

<u>-</u><u>1</u><u>2</u>

-6

= 2

equation= y-7=2(x-4)

y-7=2x-8

y= 2x-8+7

y=2x-1

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(Image source: MathCaptain.com)

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3 years ago
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What are the methods of substitution?
anyanavicka [17]

Answer:

-<u>One Equation</u>: is set equal to a variable

Example:

y = 2x + 1

x + 3y = -12

You already have y, plug it back into x + 3y = -12

x + 3(2x + 1) = -12

x + 6x + 3 = -12

7x + 3 = -12

(Subtract 3 from each side)

7x = -15

(Divide by 7)

x = - 2.14

-<u>No Equation</u>: is set equal to a variable

Example:

2x + y = 10

4× + 2y = -3

Subtract 2x from each side of 2x + y = 10, you should get y= -2x + 10. Now that you have found y, substitute y into 4x+ 2y = -3.

4x + 2(-2x + 10) = -3

4x + -4x + 20 = -3

(Subtract 20 from each side)

4x + -4x = -23

(Add 4x and -4x)

0 = -23

No Solution

<u>-Both</u><u> </u><u>Equations</u>: are set equal to a variable

Example:

y = x + 5

y = -x + 3

(you already have y so plug it into the other equation to solve for x)

-x + 3 = x + 5

(Add -x on both sides)

3 = 2x + 5

(subtract 5 from both sides)

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(Divide by 2 on each side)

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I hope this helped!

8 0
2 years ago
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The correct answer is –6x + 15 < 10 – 5x.

We can tell this by solving for x.

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-6x + 15 < 10 - 5x ----> This is answer #3 and now we add 5x to both sides

-x + 15 < 10 ----> subtract 15 from both sides

-x < -5 ----> Divide by -1

x > 5 (Note that you have to change the direction of the sign when dividing by a -1. Therefore it does not match answer #1).

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3 years ago
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