Answer:
The slope is 3.
Step-by-step explanation:
A direct variation function will always go through the origin point (0, 0).
Therefore, we have the two points (0, 0) and (-2, -6).
We can use the slope formula to find the slope:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute and evaluate:
[tex]\displaystyle m=\frac{0-(-6)}{0-(-2)}=\frac{6}{2}=3[/tex]
Therefore, the slope of the function is 3.
To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.
