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#?

1 Answer
Jim G.
Jun 8, 2018

#y=-x-1#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"rearrange "x+y=13" into this form"#

#"subtract "x" from both sides"#

#y=-x+13larrcolor(blue)"in slope-intercept form"#

#"with slope "=-1#

#• " Parallel lines have equal slopes"#

#y=-x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(-8,7)" into the partial equation"#

#7=8+brArrb=7-8=-1#

#y=-x-1larrcolor(red)"slope-intercept form of parallel line"#

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