Final answer:
The correct answer is option A. To graph an equation in slope-intercept form, use the Intercept and slope method by identifying the y-intercept and slope from the equation y = mx + b, then plot the y-intercept on the graph, use the slope to find another point, and draw a line through the points.
Step-by-step explanation:
The method used to graph equations in slope-intercept form is the Intercept and slope method. This form is generally expressed as y = mx + b, where m represents the slope of the line and b represents the y-intercept. To graph an equation using this method, you typically follow these steps:
- Identify the y-intercept b, which is the point where the line will cross the y-axis. This is done by looking at the constant term of the equation.
- Plot this point on the y-axis.
- Determine the slope m, which indicates the rise over run—how many units up or down (rise) the line goes for each unit it goes to the right (run).
- From the y-intercept, use the slope to find another point on the line by rising and running accordingly.
- Draw a line through the two points to extend it across the graph.
An example would be graphing the equation y = 3x + 9. Here, the y-intercept b is 9, which means you would plot the point (0,9) on the graph first. Then, using the slope m of 3, you would rise up 3 units and run 1 unit to the right to get to the next point on the line. Connecting these points gives you the graph of the equation.
The correct option for the method used to graph equations in slope-intercept form is A) Intercept and slope.