Question

What is the slope of the line in the graph?​

Answer 1

Answer:

The slope is 1

Step-by-step explanation:

It's a remarkable slope, since it forms an angle of 45 degrees.  Another remarkable slope would be an horizontal line, with a slope of 0.

Here's how to calculate it.

A slope if the variation of the y values (rise) divided by the variation of the x values (run).

So, let's take 2 points from the line: (1,1) and (-1,-1).

The variation of y values is: 1 - -1 = 2

The variation of  x values is: 1 - -1 = 2

So, the slope is 2/2, or 1.

Answer 2

Answer:

The slope of the line is: 1

Step-by-step explanation:

The slope of a line can be calculated with this formula:

 $m=\frac{y_2-y_1}{x_2-x_1}$

Then, you need to choose two points of the line shown in the graph and substitute them into the formula for calculate the slope:

Let's pick the points (1,2) and (-3,-2).

Substituting:

$m=\frac{-2-2}{-3-1}$

Simplifiying,  you get that the slope of the line in the graph is:

$m=\frac{-4}{-4)}\\\\m=1$

The slope of the line is: 1