How do you find the slope perpendicular to #x = –2y + 10.#?
1 Answer
Apr 17, 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"#
#"rearrange "x=-2y+10" into this form"#
#"subtract 10 from both sides"#
#rArrx-10=-2y#
#"divide all terms by "-2#
#rArry=-1/2x+5larrcolor(blue)"in slope-intercept form"#
#"with slope m "=-1/2#
#"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/(-1/2)=2#