So what if you found this slope? But what if you wanted to get even closer? Let's say you wanted to find the slope of the secant line between the point 2.5, 6.25, and three comma nine. And what if you just kept getting closer and closer and closer? Well then, the slopes of these secant lines are gonna get closer and closer to the slope of the tangent line at x equals three. And if we can figure out the slope of the tangent line, well then we're in business. Because then we're not talking about average rate of change, we're gonna be talking about instantaneous rate of change, which is one of the central ideas.