A line passes through the origin and has a slope of –3. What is the equation of the line that is perpendicular to the first line and passes through the point (3, 4)?

Question

asked Jan 22, 2017 111k views

1 Answer

SeruK · Answer 1 · 2017-01-27T23:38:30+0000

The given line has slope
m=-3 . The slope of the line perpendicular to this line is
-(1)/(m) =(1)/(3) .

Its equation is
y=(1)/(3) x+c . Since this line passes through,
(3,4) ,

$4=(1)/(3) (3)+c\\ c=3$

Thus the equation of the line in slope intercept form is
y=(1)/(3) x+3