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

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,

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,

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

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