Question

1Refer to the equation 2x-6y=12

A Create a table for at least 4 points show b your work use ge table of values to graph the line

Answer 1

To create a table for the equation 2x-6y=12, assign different values for x and solve for y. The table of values for x and y are: -2, -16/6; 0, -12/6; 2, -8/6; 4, -4/6.

To create a table for the equation 2x-6y=12, we need to assign different values for x and then solve for y. Let's assume that x takes the values -2, 0, 2, and 4. Plugging these values into the equation:

For x = -2, 2(-2)-6y=12 → -4-6y=12 → -6y=16 → y = -16/6

For x = 0, 2(0)-6y=12 → -6y=12 → y = -12/6

For x = 2, 2(2)-6y=12 → 4-6y=12 → -6y=8 → y = -8/6

For x = 4, 2(4)-6y=12 → 8-6y=12 → -6y=4 → y = -4/6

The table of values for x and y are:

x y

-2 -16/6

0 -12/6

2 -8/6

4 -4/6
The graph for the equation is attached below.