Question

What is the slope of the line between `(-12,32)` and `(6,-6)`?

Answer 1

If `A(x_1,y_1)` and `B(x_2,y_2)` are two points then the slope `m` of line between these two points is given by.

`m=(y_2-y_1)/(x_2-x_1)`

Here let `A(x_1,y_1)` represent `(-12,32)` and `B(x_2,y_2)` represent `(6,-6)`.

`implies m=(-6-32)/(6-(-12))=-38/(6+12)=-38/18=-19/9`

`implies m=-19/9`

Hence the slope of the line passing through the given points is `-19/9`.