Question

Four points from a line are shown in the table below.

INPUT OUTPUT
10 -8
2 -6
4 -4 |
6 -2
Use the table to determine the slope-intercept form of the equation of the line.
A.
y = x - 8
B.
y = x + 8
C.
y = -8x + 1
D.
y = -8x - 1
Reset
Sulit

Answer 1

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Answer 2

Correct choice is A.
`y=x-8`.

Explanation:

pick any two points from the table say (0,-8) and (2,-6)

Now we we can use both points to find the equation of line.

slope
`m=(y_2-y_1)/(x_2-x_1)=(-6--8)/(2-0)=(2)/(2)=1`

now plug slope m=1 and any point say (0,-8) into point slope formula

`y-y_1=m\left(x-x_1\right)`

`y--8=1\left(x-0\right)`

`y+8=1\left(x\right)`

`y+8=x`

`y=x-8`

Hence correct choice is A.
`y=x-8`.