### Home > A2C > Chapter 11 > Lesson 11.3.1 > Problem11-131

11-131.

Find the equation of the line that is perpendicular to$y = \frac { 1 } { 2 } x - 3$ and passes through the point $\left(10, 14\right)$.

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

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

$y = −2x + 34$
The lines are shown to the right.