# What is the equation of the line that is perpendicular to the line 3x + y = 7 and passes through the point (6, -1)?

Dec 8, 2015

$y = - 3 x + 17$

#### Explanation:

$\textcolor{w h i t e}{\times} y = a x + b$
$\implies y = - 3 x + b$
$\implies - 1 = - 3 \cdot 6 + b$
$\implies - 1 \left(+ 18\right) = - 3 \cdot 6 + b \textcolor{red}{+ 18}$
$\implies b = 17$

$\implies y = - 3 x + 17$