Write a rule to describe the function shown.

Answer:
[tex]y=\frac{2}{3} x[/tex]
Step-by-step explanation:
Assuming a straight line function, the following formula can be used:
[tex]y=mx +c\\[/tex]
Where c is the y intercept, and m is the slope of the function. The y intercept of a function is the value where x = 0, which in this case is zero, giving the function:
[tex]y=mx[/tex]
Find the slope using the first two points:
[tex]m=\frac{y_{1} -y_{2} }{x_{1} -x_{2} } \\\\m=\frac{-4--2}{-6--3} \\\\m=\frac{-2}{-3} \\\\m=\frac{2}{3}[/tex]
∴ [tex]y=\frac{2}{3} x[/tex]