When you are studying differential equations, there are a few different things to watch out for. One of the most important is when curves intersect. For example, in this article we will be looking at four different curves: R1(t), 4-t, 35+T2 and R2(s). All of these equations have an x-intercept (where they cross the x-axis) and a y-intercept (where they cross the y axis). The question that we want to answer is “at what point do all of these curves intersect?” One way to answer this question is with the use of a graphing calculator. The graphs are all on top which makes it very easy to compare these curves. Using your graphing calculator, you can find where each curve crosses the x-axis and y-axis. Once we’ve found that point, we need to calculate what values our equation has at those points (and plug them into one of our equations). Using the same graph as before, there is a point where R(t) = t intersects both axes so let’s take its coordinates: 0 for x and −0.0567 for y. Plugging in these numbers gives us an intersection point of (−0.05663521397258714