The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables (and the coordinate points on the graph).
To get 2x - y = 6 into slope intercept form, you want a positive y on one side of the equal sign, and x and your y intercept/constant on the other side of the equal sign.
1) Add y to both sides of the equation to get a positive y:
[tex]2x - y = 6\\
2x = y + 6[/tex]
2) Subtract six from both sides of the equation to get y by itself on one side of the equal sign:
[tex]2x = y + 6\\
y = 2x - 6[/tex]
The equation in slope-intercept form is: y = 2x - 6
