Question

How to graph a line with slope 2 passing through the point (2, -1)​

Answer 1

First, plot a point on (2, -1). This point is going to be in the fourth quadrant, since it is going to be at 2 = x and -1 = y. You know that there is a slope of 2, so you should follow the rule of “rise over run”. This means that the slope should be seen as a fraction, where the numerator is the rise (along the y axis), and the denominator is the run (along the x axis). The slope of 2/1 tells you to move two points up from (2, -1), and to the right 1 point. Then make a new dot at this new destination, (3, 1). Now move two units up from this new point, and one to the right, to find a third point, (4, 3). You need three points to correctly show a line. Draw a line through these three points, and you have your graph.