The first and most important step in graphing linear equations is to place the equation into "slope intercept form" also known as the "y=mx+b" form. In this equation the y variable, represented by y, is placed on one side of the equation while everything else is shifted to the other side. The letter m represents the slope also known as "rise over run" and the letter b represents the y-intercept. The x variable is represented by the letter x.
The easiest way to graph an equation is to use premade graphing paper that has an x and a y axis as well as markings for individual units. If it is not possible to find graphing paper then you can make your own using a blank sheet of paper. First draw a vertical line down the center of the sheet then draw a horizontal line across the middle of the sheet so that the two lines intersect in the centermost point of the paper. The next step is to use a ruler to mark off units by drawing dashes every centimeter on both lines.
With your equation in "y=mx+b" form, plot your y-intercept by putting a dot corresponding to the number at letter b. Remember that positive is above the y axis and to the right of the x axis. The next step is to place a second dot using your slope at the letter m using the rise over run method. For example if your slope is 3 you should start at your y-intercept and then place a dot 3 units up, or rise, and 1 unit to the right, or run, because 3 is the same as 3 over 1. Plot another point using the one you just made and connect your dots using a ruler.
Check if you made any mistakes by plotting random numbers for x, such as 1 or 2, and solving for y. You can then check your numbers and see if they lie on your line to see if you graphed correctly.