4.5 graph using slope int form - day 3
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The document discusses graphing linear equations on the same coordinate plane and identifying parallel lines based on their slopes. It provides examples of graphing equations such as Y = 1/2x + 3, Y = 0.5x - 2, and Y = 1/2x and identifying that they are parallel since they have the same slope of 1/2. It also discusses graphing equations like 3y = -9x - 5 and 12x + 4y = 1, and that to graph lines on a calculator the equations need to be solved for y. The document provides an example of a parallel equation to y = 2x - 6 and asks the reader to graph cost functions for children and adults violin lessons on the
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4.5 graph using slope int form - day 3
- 1. Day 3 of 4.5 Using a graphing calculator, graph each of the equations on the same plane Y = 1/2x + 3 What do they Y = 0.5x -2 have in common? Y = 1/2x Why????
- 3. • Start over and graph each of these: 3y = - 9x - 5 12x + 4y = 1 (What do you need to do before graphing these on the calculator?)
- 4. • Two different lines in the same plane are PARALLEL if they do not intersect. • Any two non-vertical lines are parallel if and only if they have the same slope!! • So even without graphing the equation, you should be able to identify the lines that are parallel to each other on a plane.
- 5. • Give an equation that would be parallel to y = 2x - 6 • Y= -x -5 • Y = 2/3 x
- 6. • A violin teacher charges a one-time sheet-music fee of $20 for adults and no fee for children. The charge per hour is $20 for both children and adults . The cost C for children for n lessons is given by C = 20n and for adults by C = 20n + 20. • Graph both on the same plane, and then interpret the graphs. What is the difference in costs?
- 8. • Cont’ P. 248 (#30-35, 40-43)