Question

What is the vertical change from Point A to Point B?

1
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

Answer 1

The vertical change is 1 and that of the horizontal is 2.
The rater of change is 1/2. It, in decimal rounded to the nearest tenth is 0.5

Vertical change: 1
Horizontal change: 2
Rate if change as decimal: 0.5

Answer 2

The graph shows a line. The rate of change of the graph is 0.5 and the horizontal displacement is 2 units.

Given information:

The coordinates of point A is (2,1).

The coordinates of point B is (4,2).

While moving from point A to B, the coordinates of the point change from (2,1) to (4,2).

So, the horizontal displacement of the point is the change in x-coordinate which will be,

$4-2=2$

So, horizontal displacement is of 2 units.

Similarly, the vertical displacement is 1 unit.

Now, the rate of change of the graph is simply the slope of the line shown in the graph.

So, the rate of change will be,

$m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{2-1}{4-2}\\m=0.5$

Therefore, the rate of change of the graph is 0.5 and the horizontal displacement is 2 units.

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https://brainly.com/question/18675172