How to Identify Key Features in Linear Functions

Great question! Identifying the important parts of linear functions can be really fun! Here are some key things to look for:

1. Intercepts:

   • Y-Intercept: This is where the graph crosses the y-axis. To find it, set $x=0$ in the equation.
   • X-Intercept: This is where the graph crosses the x-axis. To find it, set $y=0$ and solve for $x$.

2. Slope:

   • The slope (we call it $m$) tells us how steep the line is. You can think of it as "rise over run." You can find it using this formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$.

3. End Behavior:

   • For linear functions, as $x$ gets really big or really small (like negative numbers), the $y$ values will follow the line forever in the direction of the slope. This means they will keep going up or down!

4. Graph:

   • Plot the points! Use the intercepts to draw the line and see what the overall shape looks like.

By looking at these features, you'll discover the interesting world of linear functions in no time! Keep it up! 🎉