# What is the equation of the line with slope  m= 3/4  that passes through  (-11,5) ?

Dec 21, 2015

Use substitution into the generic equation y = mx + c to establish the equation

#### Explanation:

$- 11 = \frac{3}{4} \cdot 5 + c$
$c = - 11 - \frac{15}{4}$
$c = \frac{- 44 - 15}{4}$
$c = - \frac{59}{4}$
$y = \frac{3}{4} \cdot x - \frac{59}{4}$
$4 y = 3 x - 59$