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Section 1.4 Lines Copyright © 2013 Pearson Education, Inc. All rights reserved.

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Presentation on theme: "Section 1.4 Lines Copyright © 2013 Pearson Education, Inc. All rights reserved."— Presentation transcript:

1 Section 1.4 Lines Copyright © 2013 Pearson Education, Inc. All rights reserved

2 If y1 = y2, L is a horizontal line and the slope = 0.
Copyright © 2013 Pearson Education, Inc. All rights reserved

3 = Average Rate of Change
Copyright © 2013 Pearson Education, Inc. All rights reserved

4 Order doesn’t matter Copyright © 2013 Pearson Education, Inc. All rights reserved

5 Proving order doesn’t mater
Find the slope of the line containing the points (-1, 4) and (2, -3). The average rate of change (slope) of y with respect to x is Copyright © 2013 Pearson Education, Inc. All rights reserved

6 Copyright © 2013 Pearson Education, Inc. All rights reserved

7 # 11) Find the slope of the line and interpret the slope. (2,1) (0,0)
Practice: # 11) Find the slope of the line and interpret the slope. (2,1) (0,0) # 17) Plot each pair of points and determine the slope of the line containing them. Graph the line by hand. (-2,3); (2,1) Copyright © 2013 Pearson Education, Inc. All rights reserved

8 There is only one negative sign it can go with the 4 or the 5 not both
-4 -5 Copyright © 2013 Pearson Education, Inc. All rights reserved

9 Graph the equation: x = –2 x = a is always a vertical line
a is the x intercept Copyright © 2013 Pearson Education, Inc. All rights reserved

10 Copyright © 2013 Pearson Education, Inc. All rights reserved

11 Copyright © 2013 Pearson Education, Inc. All rights reserved

12 Find the equation of a line with slope –3 and containing the point (–1, 4).
Run = 1 Rise = -3 Copyright © 2013 Pearson Education, Inc. All rights reserved

13 Find an equation of the line L containing the points (–1, 4) and (3, –1). Graph the line L.
(-1, 4) (3, -1) Copyright © 2013 Pearson Education, Inc. All rights reserved

14 Copyright © 2013 Pearson Education, Inc. All rights reserved

15 Find the slope m and y-intercept b of the equation 3x – 2y = 6
Find the slope m and y-intercept b of the equation 3x – 2y = 6. Graph the equation. Change to (0, -3) 2 (2, 0) 3 Copyright © 2013 Pearson Education, Inc. All rights reserved

16 Copyright © 2013 Pearson Education, Inc. All rights reserved

17 Graph the linear equation 3x + 2y = 6 by finding its intercepts.
Copyright © 2013 Pearson Education, Inc. All rights reserved

18 Copyright © 2013 Pearson Education, Inc. All rights reserved

19 Copyright © 2013 Pearson Education, Inc. All rights reserved

20 Copyright © 2013 Pearson Education, Inc. All rights reserved

21 Copyright © 2013 Pearson Education, Inc. All rights reserved

22 Copyright © 2013 Pearson Education, Inc. All rights reserved

23 Find the slope of a line perpendicular to a line with slope .
Copyright © 2013 Pearson Education, Inc. All rights reserved

24 Copyright © 2013 Pearson Education, Inc. All rights reserved


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