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

Option (A) y =
`(2)/(3)` x

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=(y-y')/(x-x')`

=
`((-2-0))/((-3-0))`

=
`((-2))/((-3))`

=
`(2)/(3)`

Equation is y =
`(2)/(3)` x

Option (A) is the answer.