calculating a rate of change\nwhat is the vertical change from point a to point b?\nwhat is the horizontal…

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

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

Answer

Explanation:

Step1: Find vertical change

The y - coordinate of Point A is 1 and of Point B is 2. Vertical change = $y_B - y_A=2 - 1 = 1$.

Step2: Find horizontal change

The x - coordinate of Point A is 2 and of Point B is 4. Horizontal change = $x_B - x_A=4 - 2 = 2$.

Step3: Calculate rate of change

Rate of change (slope) $m=\frac{\text{vertical change}}{\text{horizontal change}}=\frac{1}{2}=0.5$.

Answer:

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