How do you write the slope-intercept equation for the line that is parallel to the graph of:x+y=6 and passes through (1,-4)?
1 Answer
Jun 1, 2018
Explanation:
#• " Parallel lines have equal slopes"#
#"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=6" into this form"#
#"subtract "x" from both sides"#
#y=-x+6larrcolor(blue)"in slope-intercept form"#
#"with slope m "=-1#
#y=-x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute "(1,-4)" into the partial equation"#
#-4=-1+brArrb=-4+1=-3#
#y=-x-3larrcolor(red)"equation in slope-intercept form"#
