To graph a slope, it's best to have the graph's equation already in slope-intercept form, which is y=mx+b. In this equation, m is the slope ��� often represented as a fraction and b is the y-intercept, or the point at which the line crosses the y-axis.
Continue ReadingIf the equation is in standard form ax+by=c, it has to be rearranged. If the equation is in slope-intercept form already, simply place a point on the x-axis at the indicated spot. For example, if in the equation y=2x+6, the y-intercept would be at (0, 6). Then, work out the next point of the line by the ratio of m. Because m in the equation is 2, the 1 is implied. The ratio is the rise to the run or the change in y to the change in x. The slope is positive, so it goes up by 2 for every increment of x. Therefore, the next point is (1, 8). Going in the opposite direction would yield the point (-1, 4).
It's also a good idea to have a table in which all values are written out and can be checked later. This is done by substituting the values into the original equation to see if they hold true.
Learn more about Data Graphs