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1 Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Name Date Class Additional Practice Investigation For Eercises 1 4, write an equation and sketch a graph for the line that meets the given conditions. 1. A line with slope.5 and -intercept (0, 4). A line with slope that passes through the point (, 0). A line that passes through the points (, 7) and (6, 15) 4. A line that passes through the points (, 1) and (6, 9) 10
2 Name Date Class Investigation For Eercises 5 8, write an equation for the line shown. Identif the slope and -intercept. 5. (, 9) 6. (1, ) (0, 4) (4, 5) (, 0) (, ) (0, 6) (, 4) Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 9. For parts (a) (c), write an equation and sketch a graph for the line that meets the given conditions. Use one set of aes for all three graphs. a. A line with slope and -intercept (0, 0) b. A line with slope that passes through the point (6, 6) c. A line with slope that passes through the point (6, ) d. What do ou notice about the equations and graphs of the three lines? 11
3 Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Name Date Class Investigation 10. For parts (a) (c), write an equation and sketch a graph for a line that meets the given conditions. Use one set of aes for all three graphs. a. A line with slope and -intercept (0, 5) b. A line parallel to the line drawn in part (a) with a -intercept greater than 5 c. A line parallel to the line drawn in parts (a) and (b) with a -intercept less than 5 d. What do ou notice about the equations and graphs of the three lines? For Eercises 11 1, write an equation and sketch a graph for the line that meets the given conditions A line with slope that passes through the point (.5, 4.5) 1. A line that passes through the points (, 9) and (, ) 1
4 Name Date Class Investigation For Eercises 1 14, write an equation for the line shown. Identif the slope and -intercept (4, ) (0, ) (, 11) (6, 1) 15. For parts (a) (c), write an equation and sketch a graph for the line that meets the given conditions. Use one set of aes for all three graphs. a. A line with slope and -intercept (0, 0) Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. b. A line with slope that passes through the point (, ) c. A line with slope that passes through the point (, 9) d. What do ou notice about the equations and graphs of the three lines? 1
5 Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Name Date Class Investigation 16. For parts (a) (c), write an equation and sketch a graph for a line that meets the given conditions. Use one set of aes for all three graphs. 1 a. A line with slope and -intercept (0, ) b. A line parallel to the line drawn in part (a) with a -intercept greater than c. A line parallel to the line drawn in parts (a) and (b) with a -intercept less than d. What do ou notice about the equations and graphs of the three lines? 17. a. Predict how high a stack of 10 cups would be. Stack of Strofoam Cups Number of Cups 1 4 Height of the Stack of Cups (cm) b. Describe the pattern in words. c. Describe the pattern with an equation. Let represent the number of cups and h the height. d. What does the coefficient of mean in this contet? Does it have a unit of measure? Eplain. e. What does the constant term mean in this contet? Does it have a unit of measure? Eplain. 14
6 Name Date Class Investigation 18. To the right are the graphs of three lines. a. Match each line with its rule C B A b. For each equation, what are the -values when? When 4? c. Wh are the -values farther apart when 4 than when? Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 19. Find eact solutions for each of these equations. a. 9 7 b Find at least three values of for which the inequalit is true. a. 5 1 b
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