Answer:
C. y = -4x + 4
Explanation:
remember, the numbers in the points are the x- and y- coordinates, which means nothing else than the x- and y- values of the given function.
to see if a point is on a given line (or other form of functional curve) we need to put x abs y of that point into the corresponding places of the variables in the function definition, and see if both sides turn out to be truly equal.
if yes, the point is on the line, if no, the point is NOT on the line.
the point (0, 4) means that x = 0, y = 4. that rules out A and B, because with x = 0, y would have to be -4. but it is 4. so, the equations of A and B do not include that point :
4 = 4×0 - 4 = -4 wrong.
4 = -4×0 - 4 = -4 wrong.
C and D both give us 4 = 4. so, they are still in the race.
to decide between C and D we use the other point :
-4 = -4×2 + 4 = -8 + 4 = -4 correct.
-4 = 4×2 + 4 = 8 + 4 = 12 wrong.
therefore, C is correct.