Solving systems of linear functions by graphing
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Lesson Summary:
In this lesson, you will learn how to solve systems of linear functions through graphing and finding their intersection. By using slope and the y-intercept, the process of graphing two given equations f(x) and g(x) is demonstrated, with their intersection representing the solution to the system of equations. Rise over run is used to find the second point on the line when the slope is 1, while the y-intercept is used to determine where to start graphing. The lesson concludes with the point of intersection between the two lines being identified as the solution to the system.
Lesson Description:
Learn to solve systems of linear functions by graphing and finding their intersection.
Additional Resources:
- http://mathgraph.idwvogt.com/GraphPpr.html - I used Ian Vogt's graphing website to create the graph in this vid. :)
Questions answered by this video:
- How do you solve systems of linear equations by graphing?
- How do you graph a system of linear functions?
- How do you graph f(x) = x - 1 and g(x) = -2x + 5 on the same graph?
- How do you find the solution to a system of equations?
- How do you find the slope and y-intercept of functions in slope-intercept form?
- How do you use the slope and y-intercept of a function to graph it?
- How do you find the intersection of two functions by graphing?
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Staff Review
This lesson shows an example problem for graphing a system of functions and finding where the two lines intersect. You will learn to find the slope and y-intercept of functions in slope-intercept form, how to graph the lines, and how to solve the system of equations by finding the intersection of the lines.
