Question

Look at the graph below.
what is the slope of the line ?

Answer 1

`(1)/(5)` or
`0.2`

Explanation:

The slope refers to the gradient of the line.

There is a formula to find the gradient of a line where m is the gradient:

`m=(y_(2)-y_(1) )/(x_(2) - x_(1))`

So, we will take two points on the line.

Let's take our first point as (-3, 1) and our second as (7, 3).

Let's work with the
`y` values.

The first
`y` value is 1 and the second
`y` value is 3.

So, in the numerator, they would look like
`3 - 1`.

Let's work with the
`x` values.

The first
`x` value is -3 and the second
`x` value is 7.

So, in the denominator, this would look like
`7--3`.

Let's use these in the fraction and work out our answer:

`m = (3-1)/(7--3) = (2)/(10) = (1)/(5) = 0.2`

Therefore, our final answer is
`(1)/(5)` or
`0.2`.

Answer 2

The slope is
`-(1)/(5)`.

Explanation:

Choose 2 points on the graph.

(7,3) and (2,2)

Use slope formula:
`(y2-y1)/(x2-x1)`

`(2-3)/(2-7)`=
`(-1)/(-5)`

The slope is
`-(1)/(5)`.