Question

What is the y- intercept of the function described in the table x: 1,2,3,4 y: 8,6,4,2

Answer 1

10

Explanation:

Answer 2

The y-intercept of the function is: b=10

Explanation:

Given the table

x y

1 8

2 6

3 4

4 2

Taking any two points to find the slope

• (1, 8)

• (2, 6)

The slope between (1, 8) and (2, 6) is:

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)`

`m=(6-8)/(2-1)`

`m=-2`

We know that the slope-intercept form of the line equation is

`y=mx+b`

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

`y=mx+b`

8 = -2(1) + b

8 = -2 + b

b = 8+2

b = 10

Thus, the y-intercept of the function is: b=10