# How do you find the slope that is perpendicular to the line # 5x-3y=8#?

##### 1 Answer

Apr 7, 2018

#### Explanation:

#"establish the slope of the given line"#

#"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-3y=8" into this form"#

#rArr3y=5x-8rArry=5/3x-8/3#

#"with slope m "=5/3#

#"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/(5/3)=-3/5#