Graph a steady rate: the unit rate is the slope
Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Pia's walking club moves at a steady pace. Two points, A and B, are marked on its graph. What is the slope of the line, in miles per hour?
Tala's tub fills at a steady rate, and the bubbles are getting out of hand. Points A and B are marked on its graph. What is the slope of the line, in gallons per minute?
Graph: minutes across from 0 to 16, ticks every 2; gallons up from 0 to 40, ticks every 5. A straight line through (0, 0), with only two points marked: A (4, 11) and B (12, 33). Graph: minutes across from 0 to 16, ticks every 2; gallons up from 0 to 40, ticks every 5. A straight line through (0, 0), with only two points marked: A (4, 11) and B (12, 33). 0 2 4 6 8 10 12 14 16 0 5 10 15 20 25 30 35 40 minutes gallons A B Zee's snail makes steady progress across the garden. Two points, A and B, are marked on its graph. What is the slope of the line, in inches per minute?
Graph: minutes across from 0 to 24, ticks every 4; inches up from 0 to 20, ticks every 5. A straight line through (0, 0), with only two points marked: A (6, 5) and B (18, 15). Graph: minutes across from 0 to 24, ticks every 4; inches up from 0 to 20, ticks every 5. A straight line through (0, 0), with only two points marked: A (6, 5) and B (18, 15). 0 4 8 12 16 20 24 0 5 10 15 20 minutes inches A B Esme strolls along a lake at a steady pace and stops to admire a duck. The graph shows hours and miles. What is the slope of the line, in miles per hour?
Graph: hours across from 0 to 1, ticks every 0.25; miles up from 0 to 1, ticks every 0.25. A straight line starts at (0, 0) and goes through the marked point (0.5, 0.8). Graph: hours across from 0 to 1, ticks every 0.25; miles up from 0 to 1, ticks every 0.25. A straight line starts at (0, 0) and goes through the marked point (0.5, 0.8). 0 0.25 0.5 0.75 1 0 0.25 0.5 0.75 1 hours miles The pages Jun reads vary directly with the minutes. Jun reads 9 pages in 6 minutes, then wants to read 24 pages. How many minutes does that take?
Esme's printer prints 13 pages in 4 minutes. Jun's printer graph passes through (8, 16). Both are steady, with minutes and pages. How many more pages per minute does Esme's printer print?
Jun's line goes through (0, 0) and (8, 16), with minutes across and pages up. Jun's line goes through (0, 0) and (8, 16), with minutes across and pages up. 0 1 2 3 4 5 6 7 8 0 2 4 6 8 10 12 14 16 minutes pages Kira's scooter table has the row 5 | 14. Zee's scooter graph passes through (4, 6). Both are steady, with minutes and blocks. How many more blocks per minute does Kira go?
Kira's table (minutes | blocks) has the row 5 | 14 and starts at (0, 0). Zee's line goes through (0, 0) and (4, 6). Kira's table (minutes | blocks) has the row 5 | 14 and starts at (0, 0). Zee's line goes through (0, 0) and (4, 6). Kira's table (minutes | blocks) minutes blocks 0 0 5 14 Zee's line 0 1 2 3 4 0 1 2 3 4 5 6 Pia's candle burns down at a steady rate. The line goes through (0, 0) and (5/6, 3/4), with x in hours and y in inches burned. Which rule matches the line?
Graph: hours (x) across, inches burned (y) up. A straight line from (0, 0) through the marked point (5/6, 3/4). Graph: hours (x) across, inches burned (y) up. A straight line from (0, 0) through the marked point (5/6, 3/4). 0 1/6 1/3 1/2 2/3 5/6 1 0 0.25 0.5 3/4 1 hours inches burned - y = 10x ÷ 9
- y = 9x ÷ 10
- y = x − 1/12
- y = 3x ÷ 4
Ren's printer graph has pages (x) across and minutes (y) up. The line goes through (0, 0) and (45, 6). Which rule matches the line?
Graph: pages (x) across, minutes (y) up. A straight line from (0, 0) through the marked point (45, 6). Graph: pages (x) across, minutes (y) up. A straight line from (0, 0) through the marked point (45, 6). 0 5 10 15 20 25 30 35 40 45 0 1 2 3 4 5 6 pages minutes - y = 2x ÷ 15
- y = 15x ÷ 2
- y = x − 39
- y = 6x
Tala's bike graph has miles across and hours up. Its line has slope 1/8. Which sentence says what the slope means?
- 1/8 mile for each 1 hour
- 1/8 hour for each 1 mile
- 1/8 hour in all
- The line starts at 1/8 hour