# Chapter 3 - Parallel and Perpendicular Lines - 3-7 Equations of Lines in the Coordinate Plane - Practice and Problem-Solving Exercises - Page 195: 46

$y = 5x + 2$

#### 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.

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