Question

What is the slope of the line passing through the following points: # (-7,-2), (-3, 8) #?

Answer 1

See a solution process below:

Explanation:

`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)(8) - color(blue)(-2))/(color(red)(-3) - color(blue)(-7)) = (color(red)(8) + color(blue)(2))/(color(red)(-3) + color(blue)(7)) = 10/4 = 5/2`