Answer:
C
Step-by-step explanation:
What you want to do here is take your point (4, 12) and plug it into all of those equations. If the point is on the line, you'll get something like 12 = 12 or 4 = 4 (an expression that is true!). If the point isn't on the line, you'll get something that doesn't make sense, like 4 = 6 (which is not true).
A. y = (3/4)x + 9 ... plug in (4, 12)
12 = (3/4)4 + 9 ... simplify
12 = 12 ... so (4, 12) is on this line.
B. y = (- 1/2)x + 14 ... plug in (4, 12)
12 = (-1/2)4 + 14 ... simplify
12 = 12
C. y = (1/2)x + 8 ... plug in
12 = (1/2)4 + 8 ... simplify
12 = 10 ... this is NOT true, so C does not contain the point.
D. y = -2x + 20 ... we'll just check it to be sure
12 = -2(4) + 20
12 = 12
