Answer:
The correct option is D
It is the only line whose slope is the negative reciprocal of 3, the slope of y = 3x - 2
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
[tex]y=-\frac{1}{3}x-2[/tex]Multiply this equation by -3, we have
-3y = x + 6
x + 3y = -6
The y-intercepts can be different
