The slope of a graph is a helpful tool for solving equations that you can see. It shows how steep a line is and tells us how things change.

Let’s look at a simple equation: $y = mx + b$. Here, $m$ stands for the slope. A steeper slope means things change more quickly. If you want to find where two lines meet, the slope can help you see how the equations are connected.

Here’s a quick example:

1. For the equation $y = 2x + 1$: The slope is 2.
2. For the equation $y = -x + 4$: The slope is -1.

The point where these two lines cross shows you the solution to the system of equations. It’s like finding a visual answer!