Compare the y-intercepts and rates of change of the following items.

a. the rates of change are the same, but the y-intercepts are different.

b. the items have the same y-intercepts and the same rate of change.

c. the items have different y-intercepts and different rates of change.

d. the y-intercepts are the same, but the rates of change are different.

Option D)

The items have same y-intercepts and different rates of change.

Step-by-step explanation:

is the equation of straight line

here m is the gradient and c is the y intercept

First equation given in the question:

Construction of second equation

m = y2-y1 / x2 - x1

    = 2.5 - 1.5 / -1+2

    = 1

y = mx + c

1.5 = (-2) + c

c = 3.5

So the second equation will be

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

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