Question

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.

Answer 1

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

Explanation:

Answer 2

Option D)

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

Explanation:

y = mx + c

is the equation of straight line

here m is the gradient and c is the y intercept

First equation given in the question:

y = 1.5x + 3.5

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

y = x + 3.5