Question 361660
Graphing Linear Equations is a broad topic but lets start with the problem you have given.
{{{y=2x-6}}} This problem tells you that your y-intercept is (0,-6) and that your slope is 2. Now with that info you are ready to make the graph. 

1st plot) will be your  y-int: (0, -6) put your point at -6 on your y-line of the graph.

2nd plot) Now to find your next point use your slope which is 2 OR {{{2/1}}}. Take your dot at (0,-6) and go up 2  and to the right 1.

3rd Plot)at (1,-4) 

4th Plot) at (2,-2)

~*~The slope is easy to decipher: if the NUMERATOR is positive go up the y-axis: if negative go down the y-axis. if the DENOMINATOR is poitive go to the right along the x-axis: if negaitive go left along the x-axis.

Examples:
{{{3/2}}} =  up 3, right 2
{{{4,-7}}} = up 4, left 7
{{{-8/5}}} = down 8, right 5
{{{-2/-5}}} = down 2, left 5