What is the equation of the line perpendicular to #y=5/16x # that passes through # (-5,4) #?
1 Answer
May 2, 2018
Explanation:
#"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=5/16x" is in this form"#
#"with slope "=5/16" and y-intercept "=0#
#"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#
#rArrm_("perpendicular")=-1/(5/16)=-16/5#
#rArry=-16/5x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute "(-5,4)" into the partial equation"#
#4=16+brArrb=4-16=-12#
#rArry=-16/5x-12larrcolor(red)"equation of perpendicular"#