Question

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: Identify coordinates of points

Point A has coordinates (1, 2), Point B has coordinates (2, 4).

Step2: Calculate vertical change

Vertical change (rise) from A to B is $y_B - y_A=4 - 2 = 2$.

Step3: Calculate horizontal change

Horizontal change (run) from A to B is $x_B - x_A=2 - 1 = 1$.

Step4: Calculate rate of change

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

Answer:

What is the vertical change from Point A to Point B? 2
What is the horizontal change from Point A to Point B? 1
What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary. 2