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#?

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Answer 1 · 2018-06-23T06:53:23

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

Given line ; # x + y = 13#

#y = -1 * x + 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]}