Solving Simultaneous Equations Graphically
Learning Objective
I can solve simultaneous equations using the graph method.
Key Concepts
A line is straight if the ratio of rise over run, also known as slope, is the same no matter where you measure it along the line.
Parallel lines have the same slope and will never intersect, while perpendicular lines cross at a right angle and have slopes that are negative reciprocals of each other.
Solving simultaneous equations involves finding the intersection point of two or more lines on a graph, which represents the values that make all equations true at the same time.
Practice Questions
This lesson includes 8 practice questions to reinforce learning.
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1. What is the significance of the point where two lines intersect on a graph when solving simultaneous equations?
2. Explain how graphing linear equations can help in solving real-world problems, using the example of the salt solution problem from the video.
3. If two lines on a graph are parallel, what does this indicate about the solutions to the corresponding simultaneous equations?
...and 5 more questions
Educational Video
Linear and Simultaneous Equations and Graphs: Study Hall Algebra #12: ASU + Crash Course
Arizona State University