Hello from MrBillDoesMath!
Answer:
D. "They are the only values that make both equations true"
Discussion:
Let's test the results by substitution:
Let (x,y) = (1.5, -1,5) in -2y + 6x = 12
-2(-1.5) + 6(1.5) = + 3 + 9 = 12 so (x,y) satisfies Line A
Similarly, substitute (x,y) in 4x + 12y = -12:
4(1.5) + 12 (-1.5) = 6 - 18 = -12 so (x,y) satisfies Line B.
As there is only 1 solution point (the point of intersection) of 2 non-parallel lines, choice D is the answer.
Thank you,
MrB
