prove that for any linear equation, y=mx+b, equal intervals result in growth by equal differences.
step 1: if the equal interval is k, the two endpoints of the interval will be labeled p and p + k. label the endpoints of the corresponding interval on the y-axis of the graph below. hint: first, substitute x=p into y=mx+b. next, substitute x=p+k into y=mx+b
step 2: find the difference between the endpoints of the interval on the y-axis.
(1)
[y-value at x=p]-
(2)
[y-value at x=p+k]
step 3 does your answer to step 2 depend on p?
what does it depend on? is the difference between the y-values the same regardless of where the interval starts?

Look below

Step-by-step explanation:

Step 1:

1) y-value at x=p is 8

  y-value at x=p+k is 5

(All you have to do is look at the graph)

2) x=p - x= p+k = 8-5= 3

(Subtract 3 from 8 and you get 5)

3) The answer does depend on P because you are dealing with a slope. You endpoints are fixed in a position, so when you go up or down the slope, it will not be the same. I don't think the values will be the same because you are dealing with a slope...

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step-by-step explanation:

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step-by-step explanation: