Graphing linear equations slope, intercept forms, slope, intercept form, quick check
To graph a linear equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept, you can follow these steps:
1. Plot the y-intercept point on the y-axis. This point is (0, b).
2. Use the slope to find another point on the line. The slope m represents the rise over run, so move up or down m units and then move right or left 1 unit to find another point on the line.
3. Connect the two points with a straight line.
For example, if the equation is y = 2x + 3, the y-intercept is at (0, 3) and the slope is 2. You can plot the y-intercept point at (0, 3) and then use the slope to find another point on the line, moving up 2 units and right 1 unit from the y-intercept. Connect the two points with a straight line to graph the equation.
Remember that the slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. By graphing the equation using the slope and the intercept, you can easily visualize the relationship between x and y on a graph.