I want to know how to find a slope of a line parallel to a graph of an equation. I know how to write out the problems;) , I know how to show all the work;), I just do not know how to graph it:mad: Please help!

A parallel set of lines are lines that will never cross each other, even at infinity. (given euclidian geometry)

The lines must be straight and therefore must always be equidistant.

I don't really understand your question. The line will have the same slope as your first line, but a different y intercept.

As Capuchin has said, the slopes are the same so compute the slope of the first line using your favorite two points on that line and then you're done.

And to prove it (mechanically) for yourself, get some graph paperand a ruler. Line up one side of the ruler on a known slope (between any two points). Now draw a line on buth sides of the ruler (DON'T MOVE the ruler between drawing the two lines). Now count rise/run of each line. Lather, rinse, repeat until you are convinced that the slopes will always be the same for each pair of lines. ;)

Well first a parallel line isn't a parallel line unless there 2 of them. After you figure out one it's the same slope as the other. To find the slope of one you put one of the Equations in the y=mx+b form where Y and X are points on the graph, M is slope and B is the y intercept