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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

What is the y-intercept Of the function Represented by the table of values belowX-example-1

2 Answers

0 votes

Answer: this is correct

Explanation:

From turning this assignment in this is correct

User Pavel Nazarov
by
6.8k points
4 votes

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.

User Noahutz
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7.5k points