Study Guide and Intervention

Transcription

1 - Slope Stud Guide and Intervention Slope change in Slope m of a Line For points (, ) and (, ), where, m change in Eample Eample Determine the slope of the line that passes through (, ) and (, ). m Slope formula ( ) (, ) (, ), (, ) (, ) Simplif. The slope of the line is. Eercises Graph the line passing through (, ) with a slope of. Graph the ordered pair (, ). Then, according to the slope, go up units and right units. Plot the new point (,). Connect the points and draw the line. Find the slope of the line that passes through each pair of points.. (, 7) and (, ). (, ) and (, ) 0. (, ) and (7, ). (, ) and (, ). (, 0) and (, ). (, ) and (, ) 7. (7, ) and (, ) 8. (, 9) and (, ) 9. (, ) and (, 8) Graph the line passing through the given point with the given slope. 0. slope. slope. slope 0 passes through (0, ) passes through (, ) passes through (, ) Lesson -. slope. slope. slope passes through (, ) passes through (, 0) passes through (0, 0) Glencoe/McGraw-Hill 9 Glencoe Algebra

2 - Slope Find the slope of the line that passes through each pair of points.. (, ), (, ). (0, ), (, 0). (, 9), (0, ). (8, ), (, ). (, ), (, ) undefined. (, ), (0, ) 0 7. (, ), (, 7) 8. (, ), (, ) 9. (, ), (, ) 0 Graph the line passing through the given point with the given slope. 0. (0, ), m. (, ), m. (, ), m. (, ), m Lesson - Graph the line that satisfies each set of conditions.. passes through (0, ), perpendicular to. passes through (0, ), parallel to the a line whose slope is graph of. HIKING Naomi left from an elevation of 700 feet at 7:00 A.M. and hiked to an elevation of 9800 feet b :00 A.M. What was her rate of change in altitude? 00 ft/h Glencoe/McGraw-Hill 7 Glencoe Algebra

3 - Modeling Real-World Data: Using Scatter Plots For Eercises, complete parts a c for each set of data. a. Draw a scatter plot. b. Use two ordered pairs to write a prediction equation. c. Use our prediction equation to predict the missing value.. a ? b. Sample answer using (, ) and (8, ): c. Sample answer: 9. a ? b. Sample answer using (, 9) and (0, ): c. Sample answer:. a.? b. Sample answer using (, ) and (7, ):. 8.8 c. Sample answer: 9. Lesson - Glencoe/McGraw-Hill 8 Glencoe Algebra

4 - Special Functions Identif each function as S for step, C for constant, A for absolute value, or P for piecewise.... Lesson - S C A Graph each function. Identif the domain and range.. f(). f() f() f() D all reals, R all integers D all reals, R all integers. g() 7. f() g() f() D all reals, D all reals, R { } R nonnegative reals 8. f() if 0 9. h() if if 0 if > f() h() D all reals, D { or }, R { 0 or } R { } Glencoe/McGraw-Hill 89 Glencoe Algebra

5 -7 Graphing Inequalities Graph each inequalit Lesson Glencoe/McGraw-Hill 9 Glencoe Algebra

6 - Practice (Average) Writing Linear Equations State the slope and -intercept of the graph of each equation.. 8 8, ,., ,.,. 0, Write an equation in slope-intercept form for each graph (0, ) (, ) (0, ) (, ) (, ) Write an equation in slope-intercept form for the line that satisfies each set of conditions. 0. slope, passes through (, 8). slope, passes through (0, ). slope 0, passes through (0, 0). slope, passes through (, 8) 0. passes through (, ) and (, ). passes through (7, ) and (, ) 9. -intercept, -intercept 7. -intercept, -intercept passes through ( 8, 7), perpendicular to the graph of 9 9. RESERVIRS The surface of Grand Lake is at an elevation of 8 feet. During the current drought, the water level is dropping at a rate of inches per da. If this trend continues, write an equation that gives the elevation in feet of the surface of Grand Lake after das BUSINESS Ton Marconi s compan manufactures CD-RM drives. The compan will make $0,000 profit if it manufactures 00,000 drives, and $,70,000 profit if it manufactures 00,000 drives. The relationship between the number of drives manufactured and the profit is linear. Write an equation that gives the profit P when n drives are manufactured. P n 0,000 Glencoe/McGraw-Hill 78 Glencoe Algebra