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
Jim G.
Jun 1, 2018

#y=-x-3#

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"#

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