### Home > CCA2 > Chapter 11 > Lesson 11.3.1 > Problem11-89

11-89.

Find the equation of the line passing through the point $(-2,5)$ that is perpendicular to the line $y=-5x+2$.

A perpendicular line has a slope that is the opposite reciprocal of the given line.

Using $y=mx+b$, substitute the $m,y,$ and $x$ and solve for $b$.

$y= \frac{ 1 }{ 5} x+ \frac{ 27 }{ 5}$