# What is the slope-intercept form of the equation of the line through the point (-8, 7) and parallel to the line: x + y = 13?

Jun 23, 2018

color(magenta)(y = -1 * x -1 " is the slope-intercept form of the equation"

#### Explanation:

Given line ; $x + y = 13$

$y = - 1 \cdot x + 13$

$\therefore \text{Slope } = m = - 1$

Equation of the parallel line passing through "$\left(- 8 , 7\right)$ is

$y - {y}_{1} = m \cdot \left(x - {x}_{1}\right)$

$y - 7 = - 1 \cdot \left(x + 8\right)$

color(magenta)(y = -1 * x -1 " is the slope-intercept form of the equation"

graph{-x -1 [-10, 10, -5, 5]}