Question

What is the gradient of the line passing through `(6, 3)` and `(9, 0)`?

Answer 1

The gradient is `-1`

Explanation:

The slope or gradient 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 equation gives:

`m = (color(red)(0) - color(blue)(3))/(color(red)(9) - color(blue)(6))`

`m = -3/3 = -1`