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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

User Megas
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5.6k points

1 Answer

2 votes

Answer:

C.

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

User Enesn
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