Question

How do you find the slope of the line passing through (0,-8), (-9,10)?

Answer 1

Slope `=-2`
(see below for method)

Explanation:

By definition the slope of a line between two points is the difference between the `y` coordinates divided by the difference between the `x` coordinates (taken in the same order).

For the points `(x_1,y_1)=(0,-8)` and `(x_2,y_2)=(-9,10)`
we have
`color(white)("XXX")"slope" = (Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)=(10-(-8))/(-9-0)=18/(-9)=-2`