What is the slope of the line perpendicular to # y=8/5x-3 #?

2 Answers
Apr 30, 2018

Answer:

#-5/8#

Explanation:

If you multiply the two gradients/slopes together the answer is -1 if they are perpendicular. So if you change the sign and take the reciprocal you have the second gradient.

Apr 30, 2018

Answer:

#"perpendicular slope "=-5/8#

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=8/5x-3" is in this form"#

#"with slope m "=8/5#

#"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/(8/5)=-5/8#