Answer:
C
Step-by-step explanation:
By observation, we can see that the slope of the graph is negative (i.e the graph goes from top left to bottom right) hence the number attached to the x-term must be negative. We can see that E and F have positive x-terms, hence these cannot be correct.
Now we are left with A, B, C, D as possible choices.
you are given that point (4, -2) is on the line, hence when x = 4, y must = -2.
Use this knowledge to test each of A, B, C, D to see which one gives y = -2 when we try x = 4
When x = 4
A) -[tex]\frac{1}{4}[/tex] (4) = -1 ≠ -2 (wrong)
B) -2 (4) = -8 ≠ -2 (wrong)
C) -[tex]\frac{1}{2}[/tex](4) = -2 (correct)
D) -4(4) = -16 ≠ -2 (wrong)
