Write the equation of the line that goes through the point (−9, −4) and is parallel to the line −x + 3y = −0.5

Explanation:

Given

Parallel to:

Passes through (-9,-4)

Required

Determine the line equation

First, we calculate the slope (m) of the said line

Make y the subject

Divide through by 3

An equation has the general form:

Where

So:

Because the required line is parallel to , then they have the same slope of

Next, is to calculate the line equation using:

Where

This gives:

Open bracket

the answer is the last option or letter d)