Question

Is the relationship linear?
If yes, what is the rate of
change?

Answer 1

Linear,
`(4)/(-3)` is the slope

Explanation:

Its linear because the rate of change doesn't change throughout our points.

Lets use our coordinate points for the bottom and middle one, making 1 our rate of our graph.

The bottom one that's closest to the x-axis would be (8,2). Move 8, the x, to the right, and up 2, the y The middle one of the points would be (5,6). Move 5, the x, to the right, and up 6, the y.

We have our points, now we find the rate of change, also known as slope.

So the equation for slope is m =
`(db)/(ca)` and our points together is (8,2)(5,6). Line up the variables with our points. So for example, 8 would be A, 2 would be B, 5 would be C and so on.

Then we have
`(6-2)/(5-8)`. Solve it, and we get
`(4)/(-3)`.

yea hoped that help