Question

X y

0 3
1 1
2 -1

Which equation represents the data in the table shown?
A) y = -2x
B) y = 2x + 3
C) y = -2x + 3
D) y = -2x - 3

Answer 1

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 2

Option C -
`y=-2x+3`

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)
`y=-2x`

Put x=0

`y=-2(0)=0`

Not satisfied

B)
`y=2x+3`

Put x=0

`y=2(0)+3=3`

Put x=1

`y=2(1)+3=5`

Not satisfied

C)
`y=-2x+3`

Put x=0

`y=-2(0)+3=3`

Put x=1

`y=-2(1)+3=1`

Put x=2

`y=-2(2)+3=-1`

All points satisfied.

D)
`y=-2x-3`

Put x=0

`y=-2(0)-3=-3`

Not satisfied

Therefore, The required equation satisfying all the points of the table is
`y=-2x+3`

So, Option C is correct.