Question

(-44.85,5.3) and (4.85,3.5) what is the slope

Answer 1

Find the change in Y over the change in X

$\frac{y2 - y1}{x2 - x1}$

Answer 2

Answer:

The slope is 0.036 (to the nearest thousandth)

Step-by-step explanation:

We need to determine by how much both x and y change as we go from (-44.85,5.3) to (4.85,3.5).  It might help to write out what we have here:

       4.85

-   ( -44.85)

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       49.7  This is the increase in x. Note that adding 49.7 to the original                         -44.85 results in 4.85, as we expect.  Meanwhile, y decreases from 5.3 to 3.5, a decrease of 1.8.  Thus, the slope of the line passing thru (-44.85,5.3) and (4.85,3.5) is:

m = rise / run = -1.8 / 49.7 = 0.0362 (to the nearest 10 thousandth), or 0.036 (to the nearest thousandth), or 0.04 (to the nearest hundredth).