Question

Copy and complete the table below

for the graph of x + y
6.
What values should replace A and B?
X
y
-2 -1
A
7
-
—
0
1
B 5
-
2
C

Answer 1

To find the values for A and B in the table for the line x + y = 6, substitute the given x-values into the equation y = 9 + 3x. Therefore, A should be 3 and B should be 15.

Since the equation for the line is y = 9 + 3x, we can substitute the given values of x into the equation to find the corresponding values of y.

For A, when x = -2, the equation becomes:

y = 9 + 3(-2)

= 9 - 6

= 3.

For B, when x = 2, the equation becomes:

y = 9 + 3(2)

= 9 + 6

= 15.

Therefore, A = 3 and B = 15.