Question

What is the equation of the line that passes through the point (6, 1) and is perpendicular to the line y = –3x + 2

Answer 1

y=3x+2

Answer 2

For perpendicular lines m1*m2=-1

y = –3x + 2

So m2=-1/-3=1/3

y=1/3 x+c

when x=6, y=1

1=6/3+c
1=2+c
c=-1

\[y=\frac{1}{3}x-1\]

Answer 3

I have the options y=-3x+3
y=-3x-9
y=1/3x-1
y=1/3x+19

Answer 4

When I put 1/3x-1 into my calculator they intersect??

Answer 5

The answer is y=1/3 x-1. Yes they will intersect but the angle at which this happens is 90 degrees so it is perpendicular

Answer 6

Ohhh okay :) Thank you so mcuh!!