Question

4. Which of the following equations represents a line that would be perpendicular to y = 3x - 2? (A) y = 3x + 5 (B) y = -x - 2 (C) -3x + y = 2 (D) x + 3y = 6

Answer 1

The correct option is D

It is the only line whose slope is the negative reciprocal of 3, the slope of y = 3x - 2

Step-by-step explanation:

An equation perpendicular to the equation:

y = 3x - 2

is one whose slope is the negative reciprocal of the slope of the given equation.

The slope of the given equation is 3

The negative reciprocal of 3 is -1/3

So the perpendicular equation is

`y=-(1)/(3)x-2`

Multiply this equation by -3, we have

-3y = x + 6

x + 3y = -6

The y-intercepts can be different