Answer: [tex]m=-3[/tex]
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
As you can notice, the slope of a line can be obtained by dividing the difference of the y-coordinates of any two points on a line by the difference of their x-coordinates.
Then, you must chosse two points on the given line. You can choose the following points:
[tex](2,-4)\\\\(0,2)[/tex]
Now you can say that:
[tex]y_2=-4\\y_1=2\\\\x_2=2\\x_1=0[/tex]
Therefore, substituting those coordinates into the formula and evaluating, you get that the slope of the line shown in the picture is the following:
[tex]m=\frac{-4-2}{2-0}\\\\m=\frac{-6}{2}\\\\m=-3[/tex]
