Answer:
Step-by-step explanation:
First let's assume that this is a linear relationship. Find the slope, if there is a unique slope. As we move from the point (-2, -2) to the point (2, 8), x increases by 4 and y increases by 10, so that the slope is m = rise / run, or
m = 10 / 4, or 2.5. Using the point (2, 8), determine the y-intercept:
8 = 2.5(2) + b, or 8 = 5 + b, so that b = 3.
Then y = 2.5x + 3. Now test whether another point, such as (6, 18), satisfies this equation:
18 = 2.5(6) + 3, or
18 = 15 + 3 This is true.
So we can conclude that this is a linear relationship, y = 2.5x + 3 (Answer A)
