Question

What is the slope of the line between `(-33,2)` and `(-17, -7)`?

Answer 1

See a solution process below:

Explanation:

The formula for find the slope of a line is:

`m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

Where `(color(blue)(x_1), color(blue)(y_1))` and `(color(red)(x_2), color(red)(y_2))` are two points on the line.

Substituting the values from the points in the problem gives:

`m = (color(red)(-7) - color(blue)(2))/(color(red)(-17) - color(blue)(-33)) = (color(red)(-7) - color(blue)(2))/(color(red)(-17) + color(blue)(33)) = -9/16`