Use the fit line's equation to predict, and say what its slope and intercept mean
Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Milo fit a line to bike rides: length against time. The helmet is shiny and new. About how many minutes does the model predict for a 7-kilometer ride?
Noah's jump-rope club fit a line to weeks of practice and jumps in one minute. About how many jumps does the model predict after 7 weeks?
Fit line: y = 5x + 40, where x is the weeks of jump-rope practice and y is the jumps in one minute. The data run from x = 1 to x = 10. Fill in the rule: y = 5 × 7 + 40 = ? Fit line: y = 5x + 40, where x is the weeks of jump-rope practice and y is the jumps in one minute. The data run from x = 1 to x = 10. Fill in the rule: y = 5 × 7 + 40 = ? Fit line: y = 5x + 40 1 2 3 4 5 6 7 8 9 10 40 45 50 55 60 65 70 75 80 85 90 weeks of jump-rope practice jumps in one minute y = 5x + 40 Fill in the rule: y = 5 × 7 + 40 = ? Pia's class drew a fit line on the bean plant plot. Using the line, about how tall is a plant 5 weeks after planting, in cm?
Scatter plot on a dot grid. Across (x): weeks since planting, from 0 to 10, a tick every 1. Up (y): plant heights in centimeters, from 0 to 40, a tick every 5. Each dot is one bean plant. The dots, left to right: (1, 6), (2, 11), (3, 12), (4, 17), (5, 21), (6, 22), (7, 24), (8, 29), (9, 30). The fit line runs from (0, 4) to (10, 34). Scatter plot on a dot grid. Across (x): weeks since planting, from 0 to 10, a tick every 1. Up (y): plant heights in centimeters, from 0 to 40, a tick every 5. Each dot is one bean plant. The dots, left to right: (1, 6), (2, 11), (3, 12), (4, 17), (5, 21), (6, 22), (7, 24), (8, 29), (9, 30). The fit line runs from (0, 4) to (10, 34). 0 1 2 3 4 5 6 7 8 9 10 0 5 10 15 20 25 30 35 40 weeks since planting plant heights in centimeters Ren's team drew a fit line for practice and free throws. Using the line, about how many free throws go with 7 hours of practice?
Scatter plot on a dot grid. Across (x): hours of practice, from 0 to 10, a tick every 1. Up (y): free throws made out of 40, from 0 to 40, a tick every 5. Each dot is one player. The dots, left to right: (1, 13), (2, 13), (3, 17), (4, 19), (5, 19), (6, 23), (7, 22), (8, 27), (9, 27). The fit line runs from (0, 10) to (10, 30). Scatter plot on a dot grid. Across (x): hours of practice, from 0 to 10, a tick every 1. Up (y): free throws made out of 40, from 0 to 40, a tick every 5. Each dot is one player. The dots, left to right: (1, 13), (2, 13), (3, 17), (4, 19), (5, 19), (6, 23), (7, 22), (8, 27), (9, 27). The fit line runs from (0, 10) to (10, 30). 0 1 2 3 4 5 6 7 8 9 10 0 5 10 15 20 25 30 35 40 hours of practice free throws made out of 40 Tala drew a fit line through a plot of short walks. Using the line, about how many blocks go with 8 minutes of walking?
Scatter plot on a dot grid. Across (x): minutes walked, from 0 to 10, a tick every 1. Up (y): blocks walked, from 0 to 25, a tick every 1. Each dot is one walk. The dots, left to right: (1, 5), (2, 5), (3, 9), (4, 9), (5, 13), (6, 13), (7, 17), (8, 20), (9, 19). The fit line runs from (0, 2) to (10, 22). Scatter plot on a dot grid. Across (x): minutes walked, from 0 to 10, a tick every 1. Up (y): blocks walked, from 0 to 25, a tick every 1. Each dot is one walk. The dots, left to right: (1, 5), (2, 5), (3, 9), (4, 9), (5, 13), (6, 13), (7, 17), (8, 20), (9, 19). The fit line runs from (0, 2) to (10, 22). Scatter plot on a dot grid 0 1 2 3 4 5 6 7 8 9 10 0 2 4 6 8 10 12 14 16 18 20 22 24 minutes walked blocks walked fit line Zee's music club drew a fit line on its practice plot. Using the line, about how many chords go with 3 minutes of practice a day?
Scatter plot on a dot grid. Across (x): minutes of guitar practice a day, from 0 to 10, a tick every 1. Up (y): chords played cleanly, from 0 to 50, a tick every 5. Each dot is one club member. The dots, left to right: (1, 11), (2, 13), (3, 15), (4, 23), (5, 25), (6, 31), (7, 33), (8, 39), (9, 41). The fit line runs from (0, 6) to (10, 46). Scatter plot on a dot grid. Across (x): minutes of guitar practice a day, from 0 to 10, a tick every 1. Up (y): chords played cleanly, from 0 to 50, a tick every 5. Each dot is one club member. The dots, left to right: (1, 11), (2, 13), (3, 15), (4, 23), (5, 25), (6, 31), (7, 33), (8, 39), (9, 41). The fit line runs from (0, 6) to (10, 46). 0 1 2 3 4 5 6 7 8 9 10 0 5 10 15 20 25 30 35 40 45 50 minutes of guitar practice a day chords played cleanly Ari's class fit the line y = 4x + 30 to practice time (x, in hours a week) and quiz scores (y). What does the 4 mean?
The scatter plot with its fit line y = 4x + 30; the line's table beside it: x = 0, y = 30; x = 1, y = 34; x = 2, y = 38. The scatter plot with its fit line y = 4x + 30; the line's table beside it: x = 0, y = 30; x = 1, y = 34; x = 2, y = 38. scatter plot with its fit line y = 4x + 30 0 1 2 30 32 34 36 38 x y y = 4x + 30 the line's table x y 0 30 1 34 2 38 - The 4 means each student practiced about 4 hours a week.
- The 4 means every extra hour raises every student's score by exactly 4 points, with no exceptions.
- The 4 means students who practice 1 more hour a week tend to score about 4 points higher.
- The 4 means a student who does not practice tends to score about 4 points.
Bo's garden club fit the line y = 1.5x + 4 to days outside (x) and seedling height in cm (y). What does the 1.5 mean?
The scatter plot with its fit line y = 1.5x + 4; the line's table beside it: x = 0, y = 4; x = 1, y = 11/2; x = 2, y = 7. The scatter plot with its fit line y = 1.5x + 4; the line's table beside it: x = 0, y = 4; x = 1, y = 11/2; x = 2, y = 7. scatter plot with its fit line 0 1 2 0 1 2 3 4 5 6 7 x y y = 1.5x + 4 line's table x y 0 4 1 11/2 2 7 - The 1.5 means seedlings outside 1 more day tend to be about 1.5 cm taller.
- The 1.5 means a seedling tends to be about 1.5 cm tall on its first day outside.
- The 1.5 means every seedling grows exactly 1.5 cm each day.
- The 1.5 means the club measured 1.5 seedlings each day.
Esme fit the line y = 3x + 5 to bike rides: length in km (x) and time in minutes (y). The tires were freshly pumped. What does the 3 mean?
The scatter plot with its fit line y = 3x + 5; the line's table beside it: x = 0, y = 5; x = 1, y = 8; x = 2, y = 11. The scatter plot with its fit line y = 3x + 5; the line's table beside it: x = 0, y = 5; x = 1, y = 8; x = 2, y = 11. 0 1 2 0 1 2 3 4 5 6 7 8 9 10 11 y = 3x + 5 x y 0 5 1 8 2 11 - The 3 means every kilometer takes exactly 3 minutes on every ride, without any variation.
- The 3 means rides that are 1 km longer tend to take about 3 more minutes.
- The 3 means a ride tends to take about 3 minutes before it even starts.
- The 3 means the rides were about 3 kilometers long.
Jun's class fit the line y = 6x + 15 to shoe length (x) and height (y), both in cm. What does the 6 mean?
The scatter plot with its fit line y = 6x + 15; the line's table beside it: x = 0, y = 15; x = 1, y = 21; x = 2, y = 27. The scatter plot with its fit line y = 6x + 15; the line's table beside it: x = 0, y = 15; x = 1, y = 21; x = 2, y = 27. y = 6x + 15 0 1 2 15 18 21 24 27 y = 6x + 15 x y 0 15 1 21 2 27 - The 6 means every centimeter of shoe makes a person exactly 6 cm taller.
- The 6 means a person tends to be about 6 cm tall with no shoes.
- The 6 means the class measured 6 shoes.
- The 6 means people whose shoes are 1 cm longer tend to be about 6 cm taller.