$y = 5x + 2$
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.