# What is the equation of a line that passes through (-2,-7) and is parallel to y = -5x + 4?

Jun 16, 2015

This is a slope-point problem. The slope (obviously) $= - 5$
(the $+ 4$ is not important)

#### Explanation:

$y = m \cdot x + b$

Use what you know:
$- 7 = \left(- 5\right) \cdot \left(- 2\right) + b \to$
$- 7 = + 10 + b \to b = - 17$

Answer: $y = - 5 x - 17$
graph{-5x-17 [-46.26, 46.23, -23.12, 23.14]}