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Teaching Math with PowerPoint Presented by: Nancy Jobe Ivy Tech Community College – Evansville

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Objectives 1.Graph linear equations by plotting ordered pairs. 2.Find intercepts. 3.Graph linear equations of the form Ax + By = 0. 4.Graph linear equations of the form y = k or x = k. 5.Use a linear equation to model data. Lay Out the Chapter Objectives

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Take Advantage of Professional-Prepared Graphics p. 255

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec A pictograph uses symbols or pictures to represent various amounts. key p. 639 Take Advantage of Professional-Prepared Graphics

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Make Simple Explanations Even Simplier Simplify. Example

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec (a) 38 0 Example 1 Evaluate. (b) (–9) 0 (c) –9 0 = –1(1) = –1(9) 0 = –1 = 1 (d) x 0 = 1 (e) 5x 0 = 5·1= 5 (f) (5x) 0 = 1 Try solving 2 a-e on p. 907 Make Simple Explanations Even Simplier

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec x – 2y = 4 and 5x + y = –3 First find the slope of each line by solving each equation for y. 8x – 2y = 4 –8x –2y = –8x + 4 y = 4x – 2 Slope is 4. 5x + y = –3 –5x y = –5x – 3 Slope is –5. Save Time Writing Problems Decide whether each pair of lines is parallel, perpendicular, or neither.

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Example 3 Simplify. Assume that all variables represent nonzero real numbers. Save Time Writing Problems

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Save Time Drawing Graphs

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Example 2 Find the intercepts for the graph of x + y = 2. Then draw the graph. To find the y-intercept, let x = 0; to find the x-intercept, let y = 0. x + 0 = 2 x = 2 x-intercept is (2,0) 0 + y = 2 y = 2 y-intercept is (0,2) Save Time Writing Problems and Drawing Graphs

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Are they parallel? Are they perpendicular? Can you plot their graphs? Neither parallel nor perpendicular The two equations: y = 4x – 2 & y = –5x – 3 Save Time Writing Problems and Drawing Graphs

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Save Time Writing Problems and Drawing Graphs Find each absolute value using the number line. Remember that the absolute value is the undirected distance from a number and zero. (a) |4| (b) | – 4| 4 spaces, so | – 4| = 4 4 spaces, so |4| = 4

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Want to Insert a Formula? Go to the Insert Tab Click on Equation at the far right to bring up the ribbon Some common formula are available by clicking the Formula down arrow.

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Find Your Publisher’s PowerPoints

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