Respuesta :

choixongdong
answer is
C) y = -2x + 3 

when x = 0, y = 3
when x = 1, y = -2(1) + 3 = -2 + 3 = 1
when x = 2, y = -2(2) + 3 = -4 + 3 = -1

solutions matched the table above

Answer:

Option C - [tex]y=-2x+3[/tex]

Step-by-step explanation:

Given : Table of data

x y

0 3

1 1

2 -1

To find : Which equation represents the data in the table shown?

Solution :

To find the equation we need to check all the points satisfying the equation or not.

A) [tex]y=-2x[/tex]

Put x=0

[tex]y=-2(0)=0[/tex]

Not satisfied

B) [tex]y=2x+3[/tex]

Put x=0

[tex]y=2(0)+3=3[/tex]

Put x=1

[tex]y=2(1)+3=5[/tex]

Not satisfied

C) [tex]y=-2x+3[/tex]

Put x=0

[tex]y=-2(0)+3=3[/tex]

Put x=1

[tex]y=-2(1)+3=1[/tex]

Put x=2

[tex]y=-2(2)+3=-1[/tex]

All points satisfied.

D) [tex]y=-2x-3[/tex]

Put x=0

[tex]y=-2(0)-3=-3[/tex]

Not satisfied

Therefore, The required equation satisfying all the points of the table is [tex]y=-2x+3[/tex]

So, Option C is correct.