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
Jun 8, 2018
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"#