Question

Look at the graph of the linear function. The rate of change between point A and point B is 2. What is the rate of change between point C and point D? A.= negative 2 B.= negative 1/2 C.= 1/2 D.= 2

Answer 1

Answer:

D. 2

Step-by-step explanation:

For a linear equation, the rate of change between any given two point on the line is always constant and the same.

Therefore, since rate of change between point A and point B is said to be 2, therefore, the rate of change between point C and D would be the same as 2.

We can confirm this by using this formula to calculate the rate of change, which is: $\frac{y_2 - y_1}{x_2 - x_1}$

Let,

$C(1, 2) = (x_1, y_1)$

$D(2, 4) = (x_2, y_2)$

Plug in the values into the formula:

$= \frac{4 - 2}{2 - 1} = \frac{2}{1} = 2$

As we can see, the rate of change between point C and point D is still the same as the rate of change between point A and point B = 2

Answer 2

Answer:

D) 2

Step-by-step explanation:

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