Question

The values in the table represent a linear function. How does the value of y change in relation to a change in the value of x?

A) for every change in x by 4, y changes by 3
B) for every change in x by -4, y changes by 3
C) for every change in x by 3, y changes by -4
D) for every change in x by -3, y changes by -4

Answer 1

D) for every change in x by -3, y changes by -4

Explanation:

I just know

Answer 2

Answer: We know that we have a linear relationship, and the points in the table are ( in the form (x,y))

(3, - 4), (0, - 8), (-3, -12), (-6, -12)

So if X is 3, Y is - 4, when we change X by -3, Y is -8, so Y changes by -4, and so on. So for every change in X by -3, y changes by -4.

Also can see this if we took two pairs and calculate the slope.

The slope in a linear relationship is
`s = (Y2- Y1)/(X2 - X1)`

So if we took the second and the third pair of points ( for example) we got:

`s = (- 8 - (-12))/(0 - (-3))  = 4/3`

So the relationship between Y and X is of 4/3 (which is the same as (-4)/(-3).)