Question

What is the slope of a line going through `(0, 4)` and `(-4, 2)`?

Answer 1

The slope is `1/2`

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)(4) - color(blue)(2))/(color(red)(0) - color(blue)(-4)) = (color(red)(4) - color(blue)(2))/(color(red)(0) + color(blue)(4)) = 2/4 = 1/2`