Question

How do you determine the slope of the line passing through (-1,6) and (2,-3)?

Answer 1

Use the basic definition of the slope between two points to determine that the slope is `(-3)`.

Explanation:

If `(x_1,y_1) = (-1,6)` and `(x_2,y_2) = (2,-3)`
the slope (which is defined as)
`color(white)("XXXX")` `(y_2-y_1)/(x_2-x_1)`

`color(white)("XXXX")` `= (-3 -6)/(2 - (-1)) = (-9)/(3) = -3`