Question

Which equation represents a line that passes through the point (−12, 6) and is perpendicular to the graph of the equation y = 34

x + 7?
A. y = 43
x + 18
B. y = 34
x + 15
C. y = −43
x − 10
D. y = −34
x − 3

Answer 1

C

Explanation:

If it is perpendicular to the line y = ¾x+7 then the gradient if the line must be the negative reciprocal of 3/4. The gradient must be - 4/3. So A, B and D are rejected. Left is C

Let's replace now.

For C,

Let's take y=-4/3x-10 into consideration at the point (-12,6)

Y should be equal to 6 when we replace x by -12

Let's try

Y = -4/3(-12) - 10 = 16 - 10 = 6

Yup. C is your answer.