SOLUTION: please show me how to graph the following equation! 1) y=2x-3 2) 6x+8=4x-2y 3) y=|x|+2 4) 3x+4=x-6 These are examples of what I am having trouble with. If you can help me

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Question 162511: please show me how to graph the following equation!
1) y=2x-3
2) 6x+8=4x-2y
3) y=|x|+2
4) 3x+4=x-6

These are examples of what I am having trouble with. If you can help me out I would apprieate it.
Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website!
1 2 and 4 are all lines. Collect like terms first
1) is already ok as is y = 2x -3
2) becomes 2x+2y -8 = 0
4 becomes 2x = -10, which become x = -5
For each of these, set x=0 and solve for y. This gives you one point on the line.
Then set y=0 and solve for x. That gives you a second point. Then just draw a line through those 2 points.
So for 1) when x=0, y=2*0 -3 --> y=-3. So one point is (0, -3)
when y = 0, 0=2x-3 --> x = 3/2. So another point is (-3/2, 0).
Then plot those points and draw the line

Do the same thing for number 2.
Num ber 4 is a littel diffrerent.There is no y to solve. So every point with an x=-5 is on the line. For instance (-5,0) and (-5,1) Plot them and draw the line. It is a vertical line.
Problem 3 is a little different because is has an absolute value in it.

That can be written as two equations.
and
Solve both of these and plot them both