The graph for the equation y=2x+4. if another equation is graphed so that the system has one solution, which equation could that be? a. y=2x-4 b. y=2(x+2) c. y=2(x-4) d. y=x-4

Hi there! The answer is D.

Let's look at all of the options.

Option A.


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.


Work out the parenthesis, using rainbow technique.



This is the same equation as the line we already graphed, and therefore we will have infinite solutions.

Option C.


Work out the parenthesis too.



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


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!