How to Graph the Equation y = 3x + 2 (Using Slope Intercept Form)

In this video, we'll draw the graph for y = 3x + 2. You may also see this written as f(x) = 3x + 2.

We’ll use the slope-intercept form to draw the graph. Here we use 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.

m is the slope. We can use the slope to find the rise over run. For whole numbers, like 3, we consider that to be 3/1. So we go up three 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 formula since it is much quicker with some practice. Then I’ll plug some values into y = 3x + 2 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.