Graph of a linear equation practice problems
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Students plot solutions to linear equations 3x + y = -8 and x - 5y = 11 on a coordinate plane to identify that the graphs are straight lines. They also explain that the graph of -x + 2y = 3 is a straight line based on the linear nature of the equation. Finally, students are challenged to come up with a non-linear equation and plot its solutions to show a non-linear graph.
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Graph of a linear equation practice problems
- 1. Learning target: • Students predict the shape of a graph of a linear equation by finding and plotting solutions on a coordinate plane. • Students informally explain why the graph of a linear equation is not curved in terms of solutions to the given linear equation.
- 2. 1. Find at least ten solutions to the linear equation 3x + y = -8, and plot the points on a coordinate plane. x y x y What shape is the graph of the linear equation taking?
- 3. 2. Find at least ten solutions to the linear equation x - 5y = 11, and plot the points on a coordinate plane. x y x y What shape is the graph of the linear equation taking?
- 4. 3. Joey predicts that the graph of −x + 2y = 3 will look like the graph shown below. Do you agree? Explain why or why not.
- 5. 4. We have looked at some equations that appear to be lines. Can you write an equation that has solutions that do not form a line? Try to come up with one and prove your assertion on the coordinate plane.