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

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)

       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).

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)