Which is the equation of a line that is perpendicular to the graph of x-3y=12?

A. X+3y=9

B. 3x-y=5

C. 3x+y=6

D. X-3y=-3

C.

Step-by-step explanation:

We need to write an equation in slope intercept form.

x - 3y = 12

- 3y = - x + 12

y = 1/3 x + 12

Slope = 1/3, so for perpendicular line slope should be - 3.

A. x + 3y = 9

3y = - x + 9

y = - 1/3 + 3 slope = - 1/3

B. 3x - y = 5

y = 3x - 5, slope = 3

C. 3x + y = 6

y = - 3x + 6, slope = - 3

D. x - 3y = - 3

- 3y = - x - 3

y = 1/3 x + 1, slope = 1/3