Question

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answer 1

1/3

Explanation:

Gradient or slope can be found using the point-slope formula:

`y-y_(1) =m(x-x_(1) )`

We can rearrange the equation to find slope (m) like so:

`m=(y-y_(1) )/(x-x_(1) )`

To use this formula we need to find two well-defined points and use their coordinates.

Let's use (0,2) and (3,3) because they are clear points on the graph.

(0,2) will represent
`x` and
`y` in the equation respectively, and (3,3) our other point will represent
`x_(1)` and
`y_(1)`.

Now we just need to plug the numbers into the equation:

`m=(2-3)/(0-3) \\\\m=(-1)/(-3) \\m=(1)/(3)`

The gradient of the graph is 1/3.

Hope this helped!