Question

What is the slope of the line passing through `(-4,-3); (6,9)`?

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)(9) - color(blue)(-3))/(color(red)(6) - color(blue)(-4)) = (color(red)(9) + color(blue)(3))/(color(red)(6) + color(blue)(4)) = 12/10 = 6/5`