# What is the equation of the line with slope  m= -8 that passes through  (-7, -3) ?

Jan 9, 2016

The equation is
$y + 8 x = - 59$

#### Explanation:

$m = - 8$
${y}_{1} = - 3 , {x}_{1} = - 7$

The equation of a line is found using formula

color(blue)((y-y_1) = m (x-x_1)

$\left(y - \left(- 3\right)\right) = - 8 \left(x - \left(- 7\right)\right)$

$\left(y + 3\right) = - 8 \left(x + 7\right)$

$y + 3 = - 8 x - 56$

$y + 8 x = - 3 - 56$

$y + 8 x = - 59$