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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

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 slopeintercept form of the equation of the lin class=

Respuesta :

lublana

Answer:

Correct choice is D. [tex]y=-x+3[/tex].

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 [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-3}{1-0}=\frac{-1}{1}=-1[/tex]

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

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3=-1\left(x-0\right)[/tex]

[tex]y-3=-1\left(x\right)[/tex]

[tex]y-3=-x[/tex]

[tex]y=-x+3[/tex]

Hence correct choice is D. [tex]y=-x+3[/tex].

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