Question

Calculate the gradient of the line using rise/run method.

Answer 1

Given:

The graph of line.

To find:

The gradient of the line using rise/run method.

Solution:

We know that the gradient of a line is also known as slope.

`Slope=(Rise)/(Run)`

Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.

`Rise=-3`

`Run=2`

Now,

`Slope=(Rise)/(Run)`

`Slope=(-3)/(2)`

The gradient of the line is
`-(3)/(2)`.

Therefore, the correct option is C.