Question

10What is the vertical change from Point A to Point B?98What is the horizontal change from Point A to Point B?76What is the rate of change shown on the graph? Givethe answer as a decimal rounded to the nearest tenth, ifnecessary543B2.A11 2 34 56 7 8 9 10

Answer 1

A point in a coordinate plane has coordinates (x, y).

From the graph, point A is at (2,1) and point B is at (4,2).

The vertical change corresponds to the change in the y-coordinate. Point A is at 1, and point B is at 2, therefore, the change is 2 - 1 = 1.

The horizontal change corresponds to the change in the x - coordinate. Point A is at 2 while point B is at 4, therefore, the change is 4 - 2 = 2.

The rate of change is written as vertical change over horizontal change. Thus, the rate of change is 1/2 or 0.5.