# What is the equation of the line with slope  m= -5  that passes through  (73,-23) ?

Nov 29, 2015

$y = - 5 x + 342$

#### Explanation:

Using point slope formula $y - {y}_{1} = m \left(x - {x}_{1}\right)$

You are given $m = - 5$ ;

(73, -23) => x_1= 73 ; y_1= -23

$y - \left(- 23\right) = - 5 \left(x - 73\right)$

$y \cancel{+ 23} = - 5 x + 365$
$\text{ "cancel(-23)" " " " " " " } - 23$
stackrel(" ------------------------------------------")
$\implies y = - 5 x + 342$