Question

Solve for y intercept and graph -2x + 2y = 8

Answer 1

Given the equation below

`-2x+2y=8`

Converting to slope-intercept form of an equation of a straight line

`\begin{gathered} -2x+2y=8 \\ Divide\text{ both sides by 2} \\ (-2x+2y)/(2)=(8)/(2) \\ -x+y=4 \\ y=x+4 \end{gathered}`

Where

The general form of a slope-intercept form of a line is

`\begin{gathered} y=mx+b \\ mis\text{ the slope} \\ b\text{ is the y-intercept} \end{gathered}`

Hence, the y-intercept, b, of the line is 4

Using a graphing tool, the graph of the equation is shown below