Question

How do you find the slope given F(–5, 1), G(0, –9)?

Answer 1

Slope `= -2`

Explanation:

Given two points `(x_1,y_1)` and `(x_2,y_2)`
the slope is defined as
`color(white)("XXX")m=(Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)`

Using `F(-5,1)` as `(x_1,y_1)`
and `G(0,-9)` as `(x_2,y_2)`
we have
`color(white)("XXX")m=(-9-1)/(0-(-5))=(-10)/5=-2`