Practice 5-1. Mixed Exercises. Find the slope of each line. 3 y. 5 y. Find the slope of the line passing through each pair of points.

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1 Practice - Mied Eercises Find the slope of each line Find the slope of the line passing through each pair of points. 7. (, ), (, ) 8. (7, ), (, ) 9. (0, ), (, 6) 0. (, ), (, ). (, ), (6, 7). (, ), (, ). (, ), (, ). (, ), (, 9). (, ), (8, ) Through the given point, graph a line with the given slope. 6. (, ); slope 7 (, ); slope 8. (, ); slope 0 9. (, ); slope 0. (, ); slope. (, ); undefined slope. (, ); slope. (, 0); slope. (, ); slope 0. (, ); undefined slope 6. (, ); slope 7. (, ); slope Find the slope of the line passing through each pair of points. 8. (0, 0), (, 7) 9. (, ), (, ) 0. (, 6), (, ). (, ), (, ). (, 0), (, 6). (, ), (, ). (, 7), (, ). (7, 9), (, 9) 6. (, ), (, ) 0 Slope Algebra Chapter

2 Practice - Mied Eercises Find the rate of change. Eplain what each rate of change means.. Points Scored. Distance Sound. for -pt Baskets Travels in Air Points Scored pt Baskets Distance (miles) Time (seconds) Speed (ft/s) Speed 6 7 Time (seconds) Tell if the relationship between the data is linear Find the rate of change for each table. Graph the data. 8. Touchdowns Points 9. Hours of Plumber s 0. Equipment Hours Made Scored Labor Charge Rental 6 $ $7 $8 $ 8 $ 7 $7 7 $6 0 $ Rate of Change Algebra Chapter

3 Practice - Mied Eercises Is each equation a direct variation? If it is, find the constant of variation Suppose the ordered pairs in each eercise are for the same direct variation. Find each missing value.. (, ) and (6, ). (, 8) and (, ). (, ) and (6, ) 6. (, 8) and (6, 6) 7. (, ) and (9, ) 8. (, ) and (0, ) 9. (, ) and (, 6) 0. (, ) and (., 6). (, ) and (, 6). (., ) and (, 9). (.8, ) and (., ). (9, ) and (, ) For each table, tell whether varies directl with. If it does, write a function rule for the relationship between the data Charles s law states that at constant pressure, the volume of a fied amount of gas varies directl with its temperature measured in Kelvins. A gas has a volume of 0 ml at 00 K. a. Write an equation for the relationship between volume and temperature. b. What is the volume if the temperature increases to 0 K? 0. Your percent grade varies directl with the number of correct answers. You got a grade of 80 when ou had 0 correct answers. a. Write an equation for the relationship between percent grade and number of correct answers. b. What would our percent grade be with correct answers?. The amount of simple interest earned in a savings account varies directl with the amount of mone in the savings account. You have $000 in our savings account and earn $0 in simple interest. How much interest would ou earn if ou had $00 in our savings account? Direct Variation Algebra Chapter

4 Practice - Mied Eercises Graph each equation Write an equation of a line with the given slope and -intercept.. m, b 8 6. m, b 6 7. m, b 0 8. m 9, b 7 9. m 6, b 0. m 7, b. m, b. m 9, b. m 8, b. m 9, b 0. m, b 6. m 7, b 6 Find the slope and -intercept of each line. Write the equation of each line Slope-Intercept Form Algebra Chapter

5 Practice - Mied Eercises Write the equation of a line through the given points or through the given point with the given slope.. (, 7), (6, 8). (, ); m. (, ), (, 8). (, ); m. (, 7); m 6. (6, ); m = 7. (0, ), (, ) 8. (8, ), (6, 6) 9. (, ), (, ) 0. (, 6), (, 0). (0, 7); m. (, ), (, 6). (, ); m undefined. ( 6, 7); m. (, ), (7, ) 6. (7, ); m 0 7. (8, ), (, ) 8. (, 8), (, ) 9. (, ), ( 0, 9) 0. (6, ); m. (, ); m. (,.); m 0.. ( 6, ); m. (00, 90), (80, 0). (, 6), (, 6) 6. (, 7), (9, ) 7. (, 7); m 8. ( 9, 8); m Tell whether the relationship between the - and -values is linear. If it is, write an equation for the relationship between the values Write an equation of each line Writing the Equation of a Line Algebra Chapter

6 Practice for -6 Mied Eercises Decide if the data in each scatter plot follow a linear pattern. If the do, find the equation of a trend line Use a graphing calculator to find the equation of the line of best fit for the following data. Is there a strong correlation between the data? Draw a scatter plot. Write the equation of the trend line U.S. Union 0.. U.S. Luur Year Membership Year Car Sales 7 8 (millions) (%) Source: World Almanac 99 Source: World Almanac 99 0 Scatter Plots and Equations of Lines Algebra Chapter

7 Practice -7 Mied Eercises Graph each equation Graph each equation using a graphing calculator. Make a sketch of the graph. Include Xmin, Xma, Ymin, Yma, and the - and -intercepts Write an equation for a line through the given point with the given slope using the A B C form.. (, ); m 6. (, ); m 7. (, ); m 8. (6, ); m 9. (, 7); m 0. (9, 7); m. (, ); m. (, ); m. (6, 7); m. (, ); m 7. (, ); m 6. ( 8, 0); m 6 7. The drama club sells 00 lb of fruit to raise mone. The sell the fruit in -lb bags and 0-lb bags. a. Write an equation to find the number of each tpe of bag that the should sell. b. Graph our equation. c. Use our graph to find two different combinations of tpes of bags. 8. The student council is sponsoring a carnival to raise mone. Tickets cost $ for adults and $ for students. The want to raise $0. a. Write an equation to find the number of each tpe of ticket the should sell. b. Graph our equation. c. Use our graph to find two different combinations of tickets sold. 9. Anna goes to a store to bu $70 worth of flour and sugar for her baker. A bag of flour costs $ and a bag of sugar costs $7. a. Write an equation to find the number of bags of each tpe Anna can bu. b. Graph our equation. A B C Form Algebra Chapter

8 Practice -8 Mied Eercises Find the slope of a line parallel to the graph of each equation Write an equation of a line that contains the given point and is perpendicular to the given line.. (6, );. (, ); 9. (, ); 6 6. (, ) ; 7 7. (, 6); 8. (0, ); Write an equation of a line that contains the given point and is parallel to the given line.. (, ); 7. (, );. (, );. (,0); 9 6. ( 8, ); 7. (9, 7); Parallel & Perpendicular Lines Algebra Chapter