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Recognizing Linear Functions

Recognizing Linear Functions 1.4 - Solution

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a

Let's start by drawing the graph and mark the -coordinates of the points and

We can see that there are units between the -coordinates making We can also calculate the change in using the relationship
In the same way we determine the change in the -direction, by finding the vertical distance between the points and
We can see that the vertical distance between the points is giving us We can also insert the -values in the formula
The answer is that the change in the -direction, is and the change in the -direction, is .
b
We can find the line's rate of change using the following equation. Let's calculate the rate of change. In Part A we found that and
The line's rate of change is