Question

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

Answer 1

Hi there! The answer is D.

Let's look at all of the options.

Option A.

`y = 2x - 4`

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.

`y = 2(x + 2)`

Work out the parenthesis, using rainbow technique.


`y = 2x + 4`

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

Option C.

`y = 2(x - 4)`

Work out the parenthesis too.


`y = 2x - 8`

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

`y = x - 4`

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!