What is the equation of the line perpendicular to the line y = 2x - 3 and whose y-intercept is -7?

1 Answer
Jim G.
Feb 9, 2018

#y=-1/2x-7#

Explanation:

#"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"#

#y=2x-3" is in this form with "m=2#

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

#rArry=-1/2x-7larrcolor(blue)"in slope-intercept form"#

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