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

1 Answer
Jun 23, 2018

color(magenta)(y = -1 * x -1 " is the slope-intercept form of the equation"y=1x1 is the slope-intercept form of the equation

Explanation:

Given line ; x + y = 13x+y=13

y = -1 * x + 13y=1x+13

:. "Slope " = m = -1

Equation of the parallel line passing through "(-8,7) is

y - y_1 = m * (x - x_1)

y - 7 = -1 * (x + 8)

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

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