Rate of Change and Slope

Transcription

1 DATE PERID - Rate of Change and Slope Find the slope of the line that passes through each pair of points.... (, ) (, ) (, ) (, ) (, 0) (, ) 0. (6, ), (7, ) 7. ( 9, ), ( 7, ) 6. (6, ), (, ) 7. (7, ), (, 8) Lesson - 8. ( 7, 8), ( 7, ) undefined 9. (, 9), (, 9) 0 0. (, ), ( 6, ) 7. (, 9), (, 8). (, ), (7, 8) 9. (, 0), (, ) undefined 7. (0., 0.9), (0., 0.9) 0.,,, Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Find the value of r so the line that passes through each pair of points has the given slope. 6. (, r), (6, 7), m 7. (, ), (r, ), m (, ), (, r), m 9. (, r), (, ), m 6 0. (, ), (r, ), m undefined. ( 7, ), ( 8, r), m 7. (r, 7), (, 8), m 6. (r, ), (, r), m 0. RFING The pitch of a roof is the number of feet the roof rises for each feet horizontall. If a roof has a pitch of 8, what is its slope epressed as a positive number?. SALES A dail newspaper had, subscribers when it began publication. Five ears later it had 0,00 subscribers. What is the average earl rate of change in the number of subscribers for the five-ear period? 0 subscribers per ear Chapter 9 Glencoe Algebra

2 - DATE PERID Slope and Direct Variation Name the constant of variation for each equation. Then determine the slope of the line that passes through each pair of points.. ;. ;. ; (, ) (, ) (, ) (0, 0) (0, 0) (0, 0) Graph each equation Write a direct variation equation that relates and. Assume that varies directl as. Then solve. 7. If 7. when 0., find when 0.. ;. 8. If 80 when, find when 00..; 0 9. If when, find when. ; 8 Write a direct variation equation that relates the variables. Then graph the equation. 0. MEASURE The width W of a. TICKETS The total cost C of tickets is rectangle is two thirds of the length. $.0 times the number of tickets t. W Rectangle Dimensions C.0t Cost of Tickets W C Width Length Cost ($) 0 6 t Tickets Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.. PRDUCE The cost of bananas varies directl with their weight. Miguel bought pounds of bananas for $.. Write an equation that relates the cost of the bananas to their weight. Then find the cost of pounds of bananas. C 0.p; $.6 Chapter 6 Glencoe Algebra

3 - DATE PERID Graphing Equations in Slope-Intercept Form Write an equation of the line with the given slope and -intercept.. slope:, -intercept:. slope:, -intercept:. slope:., -intercept:. slope:., -intercept:.... Write an equation of the line shown in each graph (0, ) (0, ) (, 0) (, 0) (, 0) (0, ) Graph each equation Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Write a linear equation in slope-intercept form to model each situation.. A computer technician charges $7 for a consultation plus $ per hour. C h 7. The population of Pine Bluff is 679 and is decreasing at the rate of 7 per ear. P 7t 679 WRITING For Eercises, use the following information. Carla has alread written 0 pages of a novel. She plans Carla s Novel to write additional pages per month until she is finished. P 00. Write an equation to find the total number of pages P 80 written after an number of months m. P 0 m 60. Graph the equation on the grid at the right Find the total number of pages written after months m Months Pages Written Lesson - Chapter Glencoe Algebra

4 DATE PERID - Writing Equations in Slope-Intercept Form Write an equation of the line that passes through each point with the given slope.... (, ) (, ) m m m (, ). (, ), m. (, ), m 6. (, ), m 7 Write an equation of the line that passes through each pair of points (0, ) (, ) (, ) (, ) (, ) (, ) 6 0. (0, ), (, ). (, ), (, 0). (, ), (, ). (0, ), (, ). (, 0), (, 6). (, 0), (, ) 9 Write an equation of the line that has each pair of intercepts. 6. -intercept:, -intercept: 7. -intercept:, -intercept: intercept:, -intercept: 9. -intercept:, -intercept: 0. DANCE LESSNS The cost for 7 dance lessons is $8. The cost for lessons is $. Write a linear equation to find the total cost C for lessons. Then use the equation to find the cost of lessons. C 0 ; $ Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.. WEATHER It is 76 F at the 6000-foot level of a mountain, and 9 F at the,000-foot level of the mountain. Write a linear equation to find the temperature T at an elevation e on the mountain, where e is in thousands of feet. T.e 0 Chapter 0 Glencoe Algebra

5 - DATE PERID Writing Equations in Point-Slope Form Write the point-slope form of an equation for a line that passes through each point with the given slope.. (, ), m. (, 6), m. (, ), m 0 ( ) 6 ( ) 0. (, ), m. ( 8, ), m 6. (, ), m ( ) ( 8) ( ) Write each equation in standard form. 7. ( ) 8. 0 ( ) 9. 7 ( ) 0. ( ). ( ). 6 ( ) 6..( )..( )..( ) 7 Write each equation in slope-intercept form. Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6. ( ) 7. 7( ) 8. ( ) ( ) CNSTRUCTIN For Eercises, use the following information. A construction compan charges $ per hour for debris removal, plus a one-time fee for the use of a trash dumpster. The total fee for 9 hours of service is $9.. Write the point-slope form of an equation to find the total fee for an number of hours. 9 ( 9). Write the equation in slope-intercept form. 60. What is the fee for the use of a trash dumpster? $60 MVING For Eercises 7, use the following information. There is a set dail fee for renting a moving truck, plus a charge of $0.0 per mile driven. It costs $6 to rent the truck on a da when it is driven 8 miles.. Write the point-slope form of an equation to find the total charge for an number of miles for a one-da rental. 6 0.( 8) 6. Write the equation in slope-intercept form What is the dail fee? $0 Lesson - Chapter 7 Glencoe Algebra

6 -7 DATE PERID Geometr: Parallel and Perpendicular Lines Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of each equation.. (, ),. (, ),. (, 6),. (, ),. (, ), 6. (, ), 7 7. (, ), 8. (, ), 9. ( 8, ), 6 0. (, ), 9 8. (, 6),. (, ), 7 Lesson -7 7 Write the slope-intercept form of an equation of the line that passes through the given point and is perpendicular to the graph of each equation.. (, ), 9. ( 6, ),. (, ), 7 Copright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6. (0, ), 7. (, ), 6 8. (, 7), (, ), (0, ), 8. (, ), (, ), 7. ( 6, ), 6. (, ), GEMETRY Quadrilateral ABCD has diagonals A C and B D. Determine whether A C is perpendicular to B D. Eplain. Yes; the are perpendicular because their slopes are 7 and, which are negative reciprocals. 7 D A B 6. GEMETRY Triangle ABC has vertices A(0, ), B(, ), and C(, 6). C Determine whether triangle ABC is a right triangle. Eplain. Yes; sides A B and A C are perpendicular because their slopes are and, which are negative reciprocals. Chapter Glencoe Algebra