Question

What is the slope-intercept form of the following equation?

2x+2y=20

Question 2 options:

y= x+10


2y= -2x+20


y= -x-10


y= -x+10

Answer 1

`y=-x+10`

Explanation:

First we must know the format of slope-intercept form!

This is:
`y=mx+b` (where "m" is the slope and b is the y-intercept)

Given this equation:
`2x+2y=20` we must convert this into the format of slope-intercept form.

First, we should move the "2x" to the other side of the equation, we do this by subtracting -2x from 2x and proceed to move it to the other side.

This would be result in:
`2y=-2x+20`

Next, we need to isolate the "y" variable by dividing the 2 off of it.

What you do to one side you do to the other!

-2 / 2 is -1 so this will just be "-x"

20 / 2 is 10

Therefore, our resulting equation will be:
`y = -x+10`

I hope this helped! Feel free to ask questions if you feel the need!