What is the equation of the line perpendicular to #y=-15/4x # that passes through # (-1,7) #?
1 Answer
May 9, 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=-15/4x" is in this form"#
#"with "m=-15/4" and "b=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/(-15/4)=4/15#
#rArry=4/15x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute "(-1,7)" into the partial equation"#
#7=-4/15+brArrb=105/15+4/15=109/15#
#rArry=4/15x+109/15larrcolor(red)"perpendicular equation"#