How do you find slope of the line perpendicular to the line 5x+2y=10?
2 Answers
Apr 19, 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 "5x+2y=10" into this form"#
#"subtract 5x from both sides and divide all terms by 2"#
#2y=-5x+10#
#rArry=-5/2x+5larrcolor(blue)"in slope-intercept form"#
#"with slope "=-5/2#
#"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/(-5/2)=2/5#
Apr 19, 2018
The way we find the equations for a family of perpendicular lines is to swap the coefficients on