Question

What is the y-intercept of the function, represented by the table of the values below?
A) 12
B) 9
C) 3
D) 6

Answer 1

The y-intercept means it has an x value of 0. So right away we know the answer can't be C or D. 

We first need to find the slope of this line:
(y2-y1/x2-x1)
I'm going to use (1,6) and (2,3)
(3-6/2-1)
-3/1 or -3 is our slope

Now using y=mx+b, we can plug in the slope and a point (1,6) to get the y-intercept

6=-3*1+b
6=-3+b
9=b (add 3 to both sides)

So your answer is B

Answer 2

The y- intercept is 9.

What is y- intercept?

Y intercept is the y value of the point where the line intersects the y axis. We can find the y intercept by looking at the graph and seeing the point which cuts the y axis. The x coordinate of this point will always be zero. It will be written as (0,y). This is also known as vertical intercept since it is situated on the vertical axis.

To find the y intercept of an equation let x=0 then solve it for y.

Example:

Find x and y intercepts for the line 6x+3y=18.

set x=0

6(0)+3y=18

3y=18

y=18/3

y=6

First find the slope,

(y2-y1/x2-x1)

Given that

(1,6) and (2,3)

=(3-6/2-1)

=-3/1

=-3

Now using y=mx+b,

6=-3*1+b

6=-3+b

9=b

Hence, the y- intercept is 9.

Learn more about intercept here:

https://brainly.com/question/14180189

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