Question

What is the equation, in slope-intercept form, of the line

that is perpendicular to the given line and passes through
the point (2, -1)?

A)y = -1/3 x -1/3
B)y = -1/3 x -5/3
C)y = 3x - 3
D)y = 3x - 7

Answer 1

My guess would be D.

Explanation:

We can eliminate A and B right away considering the Slope of the first equation is already -1/3 and we need the slope to be opposite to be perpendicular. So right then It is either C or D. and with C It doesn't seem like the line intersecting the line above would be parallel so my guess is D.