1) Draw a small graph on your paper, and graph the following line: y = 2x + 3

The equation y = 2x + 3 is in its slope-intercept form in which slope = 2 and y-intercept is 3.
If the slope is 2, then this means that the rise = 2 and the run = 1.
[tex]slope=\frac{rise}{run}=\frac{2}{1}=2[/tex]Knowing the slope and the y-intercept, let's now graph the line.
Let's remove the indication of the slope, here is the graph of the line y = 2x + 3.