Question

I need help with this it is confusing

Answer 1

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)