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what is the slope of the given line?

a. 2/5

b. -5/2

c. -2/5

d. 5/2

b) -5/2

Step 1: Positive/negative

An important part of determining slope is figuring out if the graph is positive or negative.

Positive- highest point of the graph is on the right side; values increase

Negative-highest point of the graph is on the left side; values decrease

In this case the highest point of the graph is on the left side and the values increase our slope will be negative

Step 2: Write slope equation

The equation for slope using a graph
is: rise/run

This means that from one point to another you have to see the distance up and down over left and right

Step 3: Solve

Looking at points (0,2) and (2,-3), I see that the distance is 5 (rise) and 2 (run)

This will make our slope 5/2. But, since we established that the graph is negative, it becomes -5/2

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