Question

Which description best describes the solution to the following system of equations?

y = −1/2x + 9
y = x + 7

Lines y = −one halfx + 9 and y = x + 7 intersect the x-axis.
Lines y = −one halfx + 9 and y = x + 7 intersect the y-axis.
Line y = −one halfx + 9 intersects the origin.
Line y = −one halfx + 9 intersects line y = x + 7.

Answer 1

@Vocaloid

Answer 2

Let's focus on the first two answers. If you were to put them on a graph, they would both be slanted diagonally. So, which axis would they cross? Or would they cross both?

Answer 3

Umm... the y-axis?

Answer 4

Yes, but it's diagonal, so would it cross both?

Answer 5

Yeah

Answer 6

Alright so A and B are correct. Now onto C. The +9 on the first equation means that the line is moved up the y-axis 9 units. The +7 on the 2nd equation means that the line is moved up the y-axis 7 units. If the lines are moved up, can they intersect the origin (0,0)?

Answer 7

No?

Answer 8

Right, they can't.

Answer 9

So C is incorrect. Now onto D. Since the lines are slated in opposite directions, will they intersect?