Question

X y

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

Answer:

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

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) $y=-2x$

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.