Question

What is the y-intercept Of the function Represented by the table of values belowX -2 1 2 4 7 y 15 6 3 -3 -12

Answer 1

Answer: this is correct

Explanation:

From turning this assignment in this is correct

Answer 2

Given:

The table of values.

To find:

The y-intercept of the given function.

Solution:

The table of values represents a linear function because the rate of change is constant.

Consider any two points from the given table. Let the two points are (-2,15) and (1,6). Then the equation of the linear function is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`y-15=(6-15)/(1-(-2))(x-(-2))`

`y-15=(-9)/(1+2)(x+2)`

`y-15=(-9)/(3)(x+2)`

`y-15=-3(x+2)`

Adding 15 on both sides, we get

`y=-3x-6+15`

`y=-3x+9`

Putting x=0, we get

`y=-3(0)+9`

`y=0+9`

`y=9`

The y-intercept is 9. Therefore, the correct option is C.