Lesson 1: Solving Systems of Equations by Graphing
We have learned how to graph a linear equation, but what happens when we have two linear equations? Do they intersect? If so, what does this mean?
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Web activity instructions:
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Go to www.desmos.com
Graph each pair of linear equations and find the solution by clicking on the point of intersection. Take a screenshot of each pair before clearing your graphs to do the next problem. Repeat for each problem. When you are finished, email your explanation for #4 to Mrs. Cummins and attach the 4 screen shots of your graphs. 1. 2x + y = -2 y = -3x – 5 2. y = x – 12 2x + 3y = 6 3. y = 5 3x + y = 5 4. David decides to rent a bike while on vacation. There are two shops from which to choose. Rent-a-Bike charges $10 per hour per bike. Bike-O-Rama charges only $4 per hour per bike, but with a deposit of $15. Which is the better deal? a. Write an equation for the cost of renting at each shop and graph online. b. Find the point of intersection (you may need to zoom out). c. Take a screenshot d. In your email, explain which shop is the better deal depending on the number of hours you rent the bike. |
Web activity checklist:
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_____ Email 4 screenshots to Mrs. Cummins
_____ Each screenshot shows 2 equations listed at left of screen _____ Each screenshot shows 2 graphed lines _____ Each screenshot shows the coordinates of the point of intersection _____ Thorough explanation is provided in the email for question #4d |
Student Samples: