# Question #aef0e

Mar 10, 2017

$y = 0.1 x + 6.5$

#### Explanation:

A perpendicular line to the given line has a general form of:
$y = \left(\frac{1}{10}\right) x + b$
The perpendicular line goes through the point: $\left(x , y\right) = \left(5 , 7\right)$, then:
$7 = \left(\frac{1}{10}\right) \cdot 5 + b$ => solve for $b$:
$b = 7 - 0.5 = 6.5$, hence:
$y = 0.1 x + 6.5$