Have you ever played connect the dots with a picture? Analytic geometry is kind of like connect the dots for math! Instead of just connecting dots to make a picture, analytic geometry uses math to connect points on a graph.
Like when you draw a graph, you have x and y axes, right? Well, in analytic geometry, we use those axes to plot points. That means that every point on the graph has a specific x and y value that tells us exactly where it is.
We can then use those points to draw lines, curves, and other shapes. And by doing some math, we can figure out all sorts of things about those shapes, like how long they are, how steep they are, and where they intersect with other things.
So, if you're ever trying to figure out some math problem that involves graphs and shapes, just remember that you're using analytic geometry to connect the dots and find the answers!