Question

What is the slope of the line passing through `(6,-1) ; (-5,-9)`?

Answer 1

See a solution process below:

Explanation:

The slope can be found by using the formula: `m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

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

Substituting the values from the points in the problem gives:

`m = (color(red)(-9) - color(blue)(-1))/(color(red)(-5) - color(blue)(6)) = (color(red)(-9) + color(blue)(1))/(color(red)(-5) - color(blue)(6)) = (-8)/-11 = 8/11`