Question

How do you find the slope given (2,-1) and (-6,-3)?

Answer 1

Slope `= 2/3`

Explanation:

In general given two points, `(x_1,y_1)` and `(x_2,y_2)`, the slope is the difference between the `y` coordinate values divided by the difference between the `x` coordinate values (taken in the same order).

That is
`color(white)("XXX")"slope"=(Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)`

For this example, if we use
`color(white)("XXX")(x_1,y_1)=(2,-1)` and
`color(white)("XXX")(x_2,y_2)=(-6,-3)`

We get
`color(white)("XXX")"slope"=((-3)-(-1))/((-6)-(-3))=(-2)/(-3)=2/3`