What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7 ?

1 Answer
Jim G.
Feb 16, 2018

#2/3#

Explanation:

#"given a line with slope m then the slope of a line"#
#"perpendicular to it is"#

#m_(color(red)"perpendicular")=-1/m#

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

#•color(white)(x)y=mx+b#

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

#"rearrange "-2y=3x+7" into this form"#

#"divide all terms by "-2#

#rArry=-3/2x-7/2to"with "m=-3/2#

#rArrm_(color(red)"perpendicular")=-1/(-3/2)=2/3#

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