Create a graph of y=2x-6.

Construct a graph corresponding to the linear equation y=2x-6.

The graph is a straight line with this characteristics:

slope: the coefficient that accompanies the x variable, so it is 2.

x-axis intercept: find from y = 0 = > 2x - 6 = 0 = > x = 3

y - axis intercept: find from x = 0 = > y = 2 (0) - 6 = 6.

With that information you can draw you graph.

Just in case you need more information, you can build a table with several values of x and y:

x y = 2x - 6

-5 2 (-5) - 6 = - 16

-4 2 (-4) - 6 = - 14

-3 2 (-3) - 6 = - 12

-2 2 (-2) - 6 = - 10

-1 2 (-1) - 6 = - 8

0 2 (0) - 6 = - 6

1 2 (1) - 6 = - 4

2 - 2

3 0

4 2

5 4

Now you have plenty information to draw the graph.

6 6