Lesson six graphing linear functions

straight lines

To graph a linear function, you need to follow a few steps.

Step 1: Understand the equation format
Make sure you have the equation of the linear function in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.

Step 2: Identify the slope
The slope of the line determines the steepness or direction of the line. If the slope is positive, the line goes up from left to right. If the slope is negative, the line goes down from left to right. If the slope is zero, the line is horizontal.

Step 3: Plot the y-intercept
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation. Plot this point on the graph.

Step 4: Use the slope to find additional points
Using the slope, you can find other points on the line. The slope tells you how much the line rises or falls (the vertical change) for every unit it moves to the right (the horizontal change). Start from the y-intercept and use the slope to find another point. Repeat this process to find more points if needed.

Step 5: Connect the points
Once you have plotted multiple points, draw a straight line that passes through all the points. This line represents the graph of the linear function.

Remember, graphing linear functions also involves understanding concepts like x and y coordinates, axes, and scales. Make sure your graph is accurately scaled to reflect the values of the points you plotted.