Question

Which table of values is correct for the equation y = -x + 3.

x y
-3 0
0 3
3 6

x y
-3 -6
0 -3
3 0

x y
-3 0
0 -3
3 -6

x y
-3 6
0 3
3 0

Answer 1

y = -x + 3

for x = -3 → y = -(-3) + 3 = 3 + 3 = 6

for x = 0 → y = -0 + 3 = 0 + 3 = 3

for x = 3 → y = -3 + 3 = 0

`\underline\ x\ \\\underline\ 6\ \\\underline\ 3\ \\\underline\ 3\`

Answer 2

Answer: The correct option is

(D) x y

-3 6

0 3

3 0.

Step-by-step explanation: We are given to select the correct table of values for the following equation :

`y=-x+3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To find the correct values, we need to find the value of y at x = -3, 0 and 3.

Substituting x = -3, we have from equation (i) that

`y=-x+3=-(-3)+3=3+3=6.`

Substituting x = 0, we have from equation (i) that

`y=-x+3=0+3=3.`

Substituting x = 3, we have from equation (i) that

`y=-x+3=-3+3=0.`

Thus, the correct set of values are

x y

-3 6

0 3

3 0.

Option (D) is CORRECT.