Answer
$y = 5x + 2$
Work Step by Step
We are given the line $-5x + y = 2$.
This equation is in standard form, which is given by the formula:
$Ax + By = C$
However, we want this line in slope-intercept form.
The first thing we want to do is isolate the $y$ term by moving the $x$ term to the other side of the equation. We do this by adding $5x$ to each side of the equation:
$-5x + 5x + y = 5x + 2$
Add to simplify the equation:
$y = 5x + 2$
This line is now rewritten in slope-intercept form.
