Question

What is the slope of the line that passes through `(-2, 5)` and `(4,9)`?

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)(5))/(color(red)(4) - color(blue)(-2)) = (color(red)(9) - color(blue)(5))/(color(red)(4) + color(blue)(2)) = 4/6 = 2/3`