Answer:
[tex]y=-x+10[/tex]
Step-by-step explanation:
First we must know the format of slope-intercept form!
This is: [tex]y=mx+b[/tex] (where "m" is the slope and b is the y-intercept)
Given this equation: [tex]2x+2y=20[/tex] 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: [tex]2y=-2x+20[/tex]
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: [tex]y = -x+10[/tex]
I hope this helped! Feel free to ask questions if you feel the need!
