Answer
The graph of 2x - y = 6 is presented below
We can see that the third graph in your option is the closest to the graph above.
Step-by-step explanation
The graph to be plotted is for 2x - y = 6
We are told to use intercepts to obtain two points on the line, then connect those two points to obtain the line.
2x - y = 6
when x = 0
2x - y = 6
2(0) - y = 6
0 - y = 6
-y = 6
y = -6
First point on the line is (0, -6)
when y = 0
2x - y = 6
2x - 0 = 6
2x = 6
Divide both sides by 2
(2x/2) = (6/2)
x = 3
Second point on the line is (3, 0)
The graph of this question is then plotted and presented under 'Answer'
Hope this Helps!!!