Question

Write the equation of a line that is parallel to x

= 8 and that passes through the point (-3,-2).

Answer 1

x=-3

Explanation:

Hi there!

1) Determine the slope

Parallel lines always have the same slope. However, the given line x=8 is a vertical line organized in the form x=d, where d is the x-intercept. Therefore, the slope is undefined, and our line will also have an undefined slope.

Now, because this line will also be a vertical line, it will also be organized like:

x=d

2) Determine the x-intercept (d)

Note that all the points a vertical line passes through will have the same x-coordinate. We're given that this line passes through the point (-3,-2), so therefore, the x-intercept will be (-3,0).

Plug this into x=d:

x=-3

I hope this helps!