Question

Trang graphed the system of equations below.

Trang says that the system of equations has no solution. Which explains whether or not he is correct?


y=-2(x+3)

y=-2+3


Trang is correct because the lines have the same slope but different y-intercepts.

Trang is correct because the lines have the same slope and the same y-intercept.

Trang is not correct because the lines have the same slope but different y-intercepts.

Trang is not correct because the lines have the same slope and the same y-intercept.

Answer 1

A. Trang is correct because the lines have the same slope but different y-intercepts.

Answer 2

Remark
I'm going to answer this, but I'm going to assume you meant y = -2x + 3 for the second equation. If that is not what you meant, then none of the answers are correct. So Please edit the question, unless what you have is the question.

Step one
Remove the brackets in the first equation.
y = -2x - 6

Step Two
Look at the graph these two lines produce. That saves you some time.
The blue line is y = -2x + 3
The red line is y = -2x - 6

Do you see what is happening? The lines never meet. There is no one solution. Now we have to discover why.


The slopes are the same (-2)
The y intercepts are different (0,-6) and (0,3)

Which answer says that?

Answer B <<<<<