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LESSON 2.04: Graphing Linear Relations using a Table of Values MFM1P

LESSON 2.04: Graphing Linear Relations using a Table of Values MFM1P. Before we begin the lesson, evaluate each equation using the given value. (a) C= 4n + 20; when n = 3 (b) C = 25n + 220; when n = 50 (c) C = 2.5n + 30; when n = 17. Graphing Linear Equations. Leering Goals.

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LESSON 2.04: Graphing Linear Relations using a Table of Values MFM1P

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  1. LESSON 2.04:Graphing Linear Relations using a Table of ValuesMFM1P

  2. Before we begin the lesson, evaluate each equation using the given value. (a) C= 4n + 20; when n = 3 (b) C = 25n + 220; when n = 50 (c) C = 2.5n + 30; when n = 17

  3. Graphing Linear Equations

  4. Leering Goals • Students will graph linear equations using a table.

  5. Vocabulary • A linear equationyou can plug x vertically… Given an equation that y=_x or x=_y if you substitute values for x or y, and plot a graph it will make a line! • The solution to linear equations are ordered pairs for you to use on your graph!

  6. What is a Linear Equation? • A linear equation is an equation whose graph forms a straight line. • Linear equations are usually shown on a coordinate plane AKA Cartesian Plane • Real life situations of linear equations include the stock market as well as the payments of a car.

  7. Example #1 • This is an example of a linear equation y = x + 8 • In this case whatever x is plus 8 will give you the value of y

  8. Graphing • Since the results of a linear equations can be expressed as ordered pairs, the linear equation can be graphed. • There are a number of ways to find the solution to a linear equation…for today’s lesson we will look at creating a table of the solutions…

  9. Tables • To create a table of solutions to a linear equation do the following: • Choose a minimum of 3 values for x • Substitute the values of x into the linear equation • Simplify to find the value of y • Write the solutions as ordered pairs • Let’s look at an example…

  10. Example #2 1. Choose a minimum of 3 values for x y = 2x – 1 2. Substitute the value of x into the equation 4. Write as an ordered pair 3. Simplify to determine the value of y

  11. Comments ? • How do you choose the value of x? • You can use any number for the value of x…however, you can make your life easy by choosing -1, 0, and 1, because you can do mental math and they are easy to graph. • You choose a minimum of 3 numbers because when graphed the expected result is a straight line. If you don’t get the straight line, then you have to go back and check your calculations…

  12. Graphing • Use the ordered pair from the table to graph the linear equation. • Again…when graphing the result should be a straight line… • Any point (ordered pair) on that line will be a solution to the linear equation…

  13. y x (2,3) (1,1) (0, -1) y = 2x – 1

  14. Your Turn • Find 3 different ordered pairs that are the solutions to the equation • y = 3x – 5 • y = -2x – 6 • y = ½ (4 – 2x) • y = 4( ½ x – 1)

  15. More Comments… • Once you get the hang of it…this concept is really easy…. • However, like everything else to become proficient you will need to practice… • It’s ok if you make a mistake…you can fix it… • The goal here is to keep an open mind and try…

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