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

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

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{1-(-2)}(x-(-2))$

$y-15=\dfrac{-9}{1+2}(x+2)$

$y-15=\dfrac{-9}{3}(x+2)$

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

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.

Answer 2

Answer: this is correct

Step-by-step explanation:

From turning this assignment in this is correct