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

Answer:

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

Step-by-step 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 $m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-3}{1-0}=\frac{-1}{1}=-1$

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. $y=-x+3$.