How to Graph the Linear Equation x + 2y = 3

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In this video we'll draw the graph for x + 2y = 3.

If we rearrange the equation x + 2y = 3 we can also use the slope intercept formula to draw the graph.

The general format y=mx + b (sometimes written y=mx + c).

b tells us where the graph crosses the y axis. That gives us our first point for the graph.

We can use the slope to find the rise over run. The slope, m, is -1/2 So we go DOWN 1 on the y axis and over 1 on the x axis. We can do that as many times as we need to in order to draw an accurate line.

I prefer to use the slope intercept form since it is much quicker with some practice. Then I’ll plug some values into x + 2y = 3 to make sure they fall on the line. If they don’t there is likely a problem.

When graphing equations it is helpful to have them in slope intercept form (y = mx + b), just like we have in this video.