Question

Write a rule to describe the function shown. (Answer choices attached)

x y
-6 4
-3 -2
0 0
3 2

Answer 1

The answer to you question is A.

All you have to go is plug in one of the x values for x and the y value that goes with it.
2/3(-6)=4

Answer 2

Answer:

Option (A) y = $\frac{2}{3}$ x

Step-by-step explanation:

Since all the options given in the question are of a linear function so we will find equation of a line in the form of

y = mx + c

Since this line is passing through origin ( 0,0) so c or y - intercept will be zero.

So equation will be       y = mx

Now this line passes through ( -3, -2 ) and ( 0,0 ).

So slope of the line    $m=\frac{y-y'}{x-x'}$

                                             = $\frac{(-2-0)}{(-3-0)}$

                                             = $\frac{(-2)}{(-3)}$

                                             = $\frac{2}{3}$

Equation is  y = $\frac{2}{3}$ x

Option (A) is the answer.