Question

Complete the TABLE of values for x+y=6.

Then:

B) On the grid draw the graph of x+y=6 for the values of x between -2 and 3.

Anyone know the answers to these?

If, so ANSWER THEM RIGHT!

Answer 1

X Y

-2 8

-1 7

0 6

1 5

2 4

3 3

Explanation:

We have the equation: x+y=6

We want to get this in the form: y=mx+b (or in this case y=x+b)

To do this we need y to be positive and by itself

So we subtract y from both sides and divide by -1 (we divide by -1 because otherwise y would be negative and that does not fit our template of y=x+b)

Doing this we have

-x+6=y

From here we just plug in numbers -2 to 3 which I will assume you know how to do

X Y

-2 8

-1 7

0 6

1 5

2 4

3 3

Answer 2

For x + y = 6, completing the table yields corresponding values: (-2, 8), (-1, 7), (0, 6), (1, 5), (2, 4), (3, 3). Plotting these points creates a straight line on the grid.

A) Completing the table for x + y = 6 involves substituting each x value and solving for y, resulting in the pairs (-2, 8), (-1, 7), (0, 6), (1, 5), (2, 4), and (3, 3).

B) Plotting these points on the grid and connecting them forms the graph of \(x + y = 6\). The line extends between the x-values -2 and 3. The graph visually represents the solutions to the equation, where each point on the line satisfies the equality \(x + y = 6\). This linear relationship illustrates combinations of \(x\) and \(y\) that sum to 6 along the depicted line.

The complete question is:

A) Complete the table of values for x + y = 6

x -2 -1 0 1 2 3

y

B) On the grid draw the graph of x + y = 6 for values of x between -2 and 3.