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

$\underline{\ x\ |\ y\ }\\\underline{-3|\ 6\ }\\\underline{\ 0\ |\ 3\ }\\\underline{\ 3\ |\ 0\ }$

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.