The most direct form to graph a line, is to find two points of it and connect them with a line.
Here we have:
[tex]y=2x-6[/tex]
Let's find the point where x = 0. To do this, we replace the x in the equation by 0:
[tex]\begin{gathered} y=2\cdot0-6 \\ y=-6 \end{gathered}[/tex]
We have our first point: (0, -6)
Next let's find the point where y = 0. Again, we replace y in by 0 in the equation:
[tex]\begin{gathered} 0=2x-6 \\ 6=2x \\ x=\frac{6}{2}=3 \end{gathered}[/tex]
We have our second point, (3, 0)
Now all we have to do is plot the points (0, -6) and (3, 0) in the plane, and connect them with a line, and then the line is graphed
The line should look like this:
