Hi there! The answer is D.
Let's look at all of the options.
Option A.
[tex]y = 2x - 4[/tex]
This line has the same slope as the line that is already graphed. Therefore, both of the lines are parallel and they won't intersect.
Option B.
[tex]y = 2(x + 2)[/tex]
Work out the parenthesis, using rainbow technique.
[tex]y = 2x + 4[/tex]
This is the same equation as the line we already graphed, and therefore we will have infinite solutions.
Option C.
[tex]y = 2(x - 4)[/tex]
Work out the parenthesis too.
[tex]y = 2x - 8[/tex]
This line also has the same slope as the line we already graphed. Therefore it is parallel too and has no intersection point.
Option D. CORRECT ANSWER
[tex]y = x - 4[/tex]
The graph of this line is less steep and intersects the y-axis at the another point than our given graph. Therefore, it'll intersect once.
~ Hope this helps you!
