Question

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

Answer 1

Answer:

The slope is $-\frac{1}{5}$.

Step-by-step explanation:

Choose 2 points on the graph.

(7,3) and (2,2)

Use slope formula: $\frac{y2-y1}{x2-x1}$

$\frac{2-3}{2-7}$=$\frac{-1}{-5}$

The slope is $-\frac{1}{5}$.

Answer 2

Answer:

$\frac{1}{5}$ or $0.2$

Step-by-step 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:

$m=\frac{y_{2}-y_{1} }{x_{2} - x_{1}}$

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:
$m = \frac{3-1}{7--3} = \frac{2}{10} = \frac{1}{5} = 0.2$

Therefore, our final answer is $\frac{1}{5}$ or $0.2$.