# How do you write an equation of a line passing through (-8, -8) and parallel to the line whose equation is y=-4x+4?

Dec 28, 2016

$y = - 4 x - 40$

#### Explanation:

Lines which are parallel have the same slope.

An equation parallel to $\text{ "y=-4x+4" }$is of the form

$y = - 4 x + C$

passing through $\text{ "(-8,-8)" }$we have:

$- 8 = - 4 \times - 8 + C$

$- 8 = 32 + C$

$C = - 32 - 8$

$C = - 40$

$\therefore y = - 4 x - 40$