How do you find the slope perpendicular to #1/3x + 2/3y = 2#?
1 Answer
Jun 13, 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 "1/3x+2/3y=2" into this form"#
#"multiply all terms by 3"#
#x+2y=6#
#"subtract "x" from both sides and divide by 2"#
#y=-1/2x+3larrcolor(blue)"in slope-intercept form"#
#"with slope "=-1/2#
#"the slope of perpendicular to it is"#
#•color(white)(x)m_(color(red)"perpendicular")=-1/m=-1/(-1/2)=2#