When a linear equation is written in slope-intercept form, it is easy to find the slope and y-intercept of the line, making the graph of the linear equation easy to create. In the
above example, y = 3x + 2, the slope is 3 and the y-intercept is 2.
To create the graph, we first plotted the y-intercept by putting a point on the y-axis at 2. From that point, we used the slope of 3 (or 3/1) to tell us to move up 3 units and right one unit. We plotted a second point there. After we connected the two points, our line was created.