Question

calculating a rate of change
what is the vertical change from point a to point b?
what is the horizontal change from point a to point b?
what is the rate of change shown on the graph? give the answer as a decimal rounded to the nearest tenth, if necessary

Explanation:

Step1: Find vertical change

Vertical change is difference in y - values. Point A has y - value of 1 and Point B has y - value of 2. So, vertical change = 2 - 1 = 1.

Step2: Find horizontal change

Horizontal change is difference in x - values. Point A has x - value of 2 and Point B has x - value of 4. So, horizontal change = 4 - 2 = 2.

Step3: Calculate rate of change

Rate of change (slope) is $\frac{\text{vertical change}}{\text{horizontal change}}$. So, rate of change = $\frac{1}{2}=0.5$.

Answer:

Vertical change: 1
Horizontal change: 2
Rate of change: 0.5