Question

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

INPUT OUTPUT
lol 3
| 1 | 2
12 . 1
3 .
Use the table to determine the slope-intercept form of the equation of the line.
CA. y = 3x-1
B.
y = x + 3
c. y = 3x + 1
D.
y = -x + 3

Answer 1

Correct choice is D.
`y=-x+3`.

Explanation:

pick any two points from the table say (0,3) and (1,2)

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

slope
`m=(y_2-y_1)/(x_2-x_1)=(2-3)/(1-0)=(-1)/(1)=-1`

now plug slope m=-1 and any point say (0,3) into point slope formula

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

`y-3=-1\left(x-0\right)`

`y-3=-1\left(x\right)`

`y-3=-x`

`y=-x+3`

Hence correct choice is D.
`y=-x+3`.