Question

HELP ITS LITERALLY DUE TODAY

x -7 -6 -5 -4
y 21 17 13 9

Answer 1

`m=-4`

Explanation:

Two ways: pick two positions, calculate the difference in y and divide it by the difference in x

`m= (\Delta y)/(\Delta x) =(21-17)/(-7-(-6)) = \frac4{-1}= -4`

Or, the slope is also the variation in y for every unit increase of x.

In particular, the table gives unit increase in x (-7 to -6, and so on). The slope is simply "what happens to y". In our case, y decreases by 4, so the slope is -4