The connection between coordinates and graphs of functions is very important for understanding math in a visual way.

1. Coordinates: Each point on a graph is marked by a pair of numbers called an ordered pair, like $(x, y)$.

   • The $x$-value tells us how far to move left or right on the horizontal line.
   • The $y$-value tells us how far to move up or down on the vertical line.

2. Function Graphs: A function is a special rule that connects each $x$-value to one and only one $y$-value.

   • When we plot these pairs on a graph, we can see the function visually.

For example, if we take the function $y = 2x + 3$, we can use coordinates like $(0, 3)$, $(1, 5)$, and $(2, 7)$.

By connecting these points, we can draw a straight line that shows how $x$ and $y$ are related.

Knowing this connection helps us understand how functions work and helps us make predictions about them!