Math 8 B unit 4 graphing linear equations lesson 7
Lesson 7: Graphing Linear Equations in Slope-Intercept Form
In this lesson, we will learn how to graph linear equations in slope-intercept form. The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.
To graph a linear equation in slope-intercept form, follow these steps:
1. Plot the y-intercept on the y-axis. The y-intercept is the point where the line crosses the y-axis. It is the value of b in the equation y = mx + b.
2. Use the slope to find another point on the line. The slope tells you how the line is slanting. It is the value of m in the equation y = mx + b.
3. Connect the two points with a straight line. This line represents the graph of the linear equation.
Example:
Graph the linear equation y = 2x + 3.
Step 1: Plot the y-intercept.
The y-intercept is 3, so plot the point (0, 3) on the y-axis.
Step 2: Use the slope to find another point.
The slope is 2, so from the y-intercept point (0, 3), go up 2 units and to the right 1 unit to find another point. Plot the point (1, 5).
Step 3: Connect the two points with a straight line.
Draw a straight line through the two points (0, 3) and (1, 5).
You have now graphed the linear equation y = 2x + 3 in slope-intercept form. Practice graphing more linear equations in slope-intercept form to strengthen your understanding.