Why equals to 3x - 5x + 6 on a graph table graphically representing the graph table?

The equation y = 3x - 5x + 6 simplifies to y = -2x + 6. To represent this equation graphically in a table, you can choose a few values for x and then calculate the corresponding values for y using the equation.

For example, if we choose x = 0, 1, 2, and 3, we can calculate the corresponding values for y:

When x = 0:
y = -2(0) + 6
y = 6

When x = 1:
y = -2(1) + 6
y = 4

When x = 2:
y = -2(2) + 6
y = 2

When x = 3:
y = -2(3) + 6
y = 0

So, the table representing the graph of y = -2x + 6 would look like this:

| x | y |
|---|---|
| 0 | 6 |
| 1 | 4 |
| 2 | 2 |
| 3 | 0 |

Plotting these points on a graph and connecting them with a straight line would represent the graph of the equation y = -2x + 6.