There are several methods for graphing linear equations: 1) Point plotting involves choosing x-values, substituting them into the equation to find corresponding y-values, and plotting the points on a graph. 2) Using intercepts involves finding the x-intercept where y=0 and the y-intercept where x=0 and graphing those points. 3) The slope-intercept form y=mx+b allows you to find the slope m and y-intercept b to graph the line. 4) A graphing calculator can also be used to graph linear equations by inputting them in slope-intercept form y=mx+b.