Question

Write a rule to describe the function shown.

Answer 1

Y = 2/3x
it's the best answer

Answer 2

Answer:

$y=\frac{2}{3} x$

Step-by-step explanation:

Assuming a straight line function, the following formula can be used:

$y=mx +c$

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:

$y=mx$

Find the slope using the first two points:

$m=\frac{y_{1} -y_{2} }{x_{1} -x_{2} } \\\\m=\frac{-4--2}{-6--3} \\\\m=\frac{-2}{-3} \\\\m=\frac{2}{3}$

∴ $y=\frac{2}{3} x$