What is the slope of the line perpendicular and parallel to 7x+2y=-4?

1 Answer
Jim G.
Mar 2, 2018

#m_("perpendicular")=2/7,m_("parallel")=-7/2#

Explanation:

#• " parallel lines have equal slopes"#

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

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

#"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 "7x+2y=-4" into this form"#

#2y=-7x-4#

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

#rArrm_(color(red)"parallel")=-7/2#

#rArrm_(color(red)"perpendicular")=-1/(-7/2)=2/7#

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