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Teaching Math with PowerPoint
Presented by:Nancy Jobe
Ivy Tech Community College – Evansville 10-26-2012
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 2
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
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 3
Take Advantage of Professional-Prepared Graphics
p. 255
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 4
A pictograph uses symbols or pictures to represent various amounts.
key
p. 639
Take Advantage of Professional-Prepared Graphics
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.6 - 5
Make Simple Explanations Even Simplier
Simplify .Example
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 13.5 - 6
(a) 380
Example 1 Evaluate.
(b) (–9)0
(c) –90 = –1(1)= –1(9)0 = –1
= 1
= 1(d) x0 = 1
(e) 5x0 = 5·1= 5
(f) (5x)0 = 1
Try solving 2 a-e on p. 907
Make Simple Explanations Even Simplier
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 7
8x – 2y = 4 and 5x + y = –3First find the slope of each line by solving each equation for y.
8x – 2y = 4
2 2
–8x –8x
2–2y = –8x + 4
y = 4x – 2 Slope is 4.
5x + y = –3–5x –5x
y = –5x – 3 Slope is –5.
Save Time Writing Problems
Decide whether each pair of lines is parallel, perpendicular, or neither.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 13.5 - 8
4 ( 5) 7 62 ( )z a
Example 3 Simplify. Assume that all variables represent nonzeroreal numbers.
4 7
5 6
2 ( )(c)
2 ( )
z a
z a
4 7
5 6
2 ( )
2 ( )
z a
z a
92 ( )z a
Save Time Writing Problems
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 13.5 - 9
Save Time Drawing Graphs
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 11
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 = 2x-intercept is (2,0) -5
-3
-1
-4
-2
1
3
5
2
4
42-2-4 531-1-3-50 + y = 2
y = 2y-intercept is (0,2)
Save Time Writing Problems and Drawing Graphs
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 12
-5
-3
-1
-4
-2
1
3
5
2
4
42-2-4 531-1-3-5
Are they parallel?Are they perpendicular?Can you plot their graphs?
Neither parallel nor perpendicular
The two equations: y = 4x – 2 & y = –5x – 3
𝟒𝟏•−𝟓𝟏
=−𝟐𝟎
Save Time Writing Problems and Drawing Graphs
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.3 - 13
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
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 13.5 - 14
Want to Insert a Formula?
Go to the Insert Tab
Click on Equation at the far right to bring up the ribbonSome common formula are available by clicking the Formula down arrow.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 13.5 - 15
http://www.pearsonhighered.com/educator/index.page
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