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Question 138392: What Graph represents y = x + 2
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! Step 1: Pick a number to substitute for x. It doesn't matter what number, so pick something that makes the arithmetic simple, like 1.
Step 2: Replace x in the equation with the number you chose and do the arithmetic to determine the resulting value for y.
Step 3: Create an ordered pair (x,y) where the first number is the one you picked in step 1 and the second number is the one you calculated in step 2.
Step 4: Plot that ordered pair on your graph paper, using the value of x to determine how far right (+) or left (-) of the origin and the y value to determine how far up (+) or down (-).
Repeat steps 1 through 4 using a different number for x. If you followed my advice and used 1 the first time, use 0 this time. Again, it doesn't matter what numbers you pick as long as you stay within the scale of your graph. In other words, if you have scaled your graph from -10 to 10 each way, then selecting 286 for x wouldn't help you much because your point would be plotted somewhere over on the desk of the person to your right -- not particularly helpful.
You only absolutely required to do this process twice for any straight line equation, but if you are having fun, by all means continue as long as you like picking x, calculating y, and then plotting the points.
Assuming that you have carefully plotted at least two points, draw a straight line passing through the two points from one edge of your graph to the other. The result will be the graph of your equation. Every point that is on that line (or the extension of the line off the paper -- both ends go on to infinity) will be an element of the solution set of the equation, and every element of the solution set of the equation will be an ordered pair that will be on the graphed line.
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