Question

What is the gradient of the graph shown

Answer 1

The gradient of the graph is 2.

Solution:

Let the points on the graph are (-2, 0) and (0, 4).

Here
`x_1=-2, y_1=0, x_2=0, y_2=4`.

Gradient of the graph:

`$\text{Gradient }= (y_2-y_1)/(x_2-x_1)`

`$= (4-0)/(0-(-2))`

`$= (4-0)/(0+2)`

`$= (4)/(2)`

Cancel the common terms, we get

Gradient = 2

The gradient of the graph is 2.