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

Circle the best answer, or write your answer on the line.
Kira hikes up a trail at a steady pace and counts every trail sign. The graph shows hours and miles. What is the slope of the line, in miles per hour?
Luz paints a long fence at a steady pace, wearing a very splattered hat. The graph shows minutes and feet painted. What is the slope of the line, in feet per minute?
Graph: minutes across from 0 to 9, ticks every 1; feet painted up from 0 to 6, ticks every 1. A straight line starts at (0, 0) and goes through the marked point (6, 4). Graph: minutes across from 0 to 9, ticks every 1; feet painted up from 0 to 6, ticks every 1. A straight line starts at (0, 0) and goes through the marked point (6, 4). 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 minutes feet painted The height a sunflower grows varies directly with the days, and Bo measures it every morning. It grows 5 inches in 4 days. How many inches does it grow in 10 days?
Ari and Luz each bike at a steady speed. Ari's graph has the marked point (3, 36). Luz's table has the row 5 | 45. Which line is steeper, or are they equally steep?
Both lines have hours across and miles up. Ari's line goes through (0, 0) and (3, 36). Luz's table (hours | miles) has the row 5 | 45 and passes through (0, 0). Both lines have hours across and miles up. Ari's line goes through (0, 0) and (3, 36). Luz's table (hours | miles) has the row 5 | 45 and passes through (0, 0). Ari 0 1 2 3 4 5 0 9 18 27 36 45 hours miles Luz hours miles 0 0 5 45 - Ari's line
- They are equally steep
- Luz's line
Pia's hike is a graph through the marked point (4, 10). Tala's hike covers 15 miles in 6 hours, steadily. Which graph is steeper, or are they equally steep? Hours across, miles up.
Pia's line goes through (0, 0) and (4, 10). Tala's line goes through (0, 0) and (6, 15). Hours across, miles up. Pia's line goes through (0, 0) and (4, 10). Tala's line goes through (0, 0) and (6, 15). Hours across, miles up. 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Hours miles Pia Tala - Pia's line
- Tala's line
- They are equally steep
Ari's reading table has the row 8 | 14. Bo's reading graph has the marked point (3, 6). Both are steady, minutes across and pages up. Which line is steeper, or are they equally steep?
Ari's table (minutes | pages) has the row 8 | 14 and starts at (0, 0). Bo's graph is a line through (0, 0) and (3, 6). Ari's table (minutes | pages) has the row 8 | 14 and starts at (0, 0). Bo's graph is a line through (0, 0) and (3, 6). Ari's table minutes pages 0 0 8 14 Bo's graph 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 minutes pages - They are equally steep
- Bo's line
- Ari's line
Kira's tub line has slope 5/3. Its graph shows minutes across and gallons up. Which sentence says what the slope means?
- The line starts at 5/3 gallons
- 5/3 gallons in all
- 5/3 gallons for each 1 minute
- 5/3 minutes for each 1 gallon
Luz's printer graph is a straight line through (0, 0) and (6, 10), with x in minutes and y in pages. Which rule matches the line?
Graph: minutes (x) across, pages (y) up. A straight line from (0, 0) through the marked point (6, 10). Graph: minutes (x) across, pages (y) up. A straight line from (0, 0) through the marked point (6, 10). 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 9 10 11 12 minutes pages A straight line from (0, 0) through the marked point (6, 10). - y = 5x ÷ 3
- y = 10x
- y = 3x ÷ 5
- y = x + 4
Milo's snail crawls at a steady pace. The line goes through (0, 0) and (8, 6), with x in minutes and y in inches. Which rule matches the line?
Graph: minutes (x) across, inches (y) up. A straight line from (0, 0) through the marked point (8, 6). Graph: minutes (x) across, inches (y) up. A straight line from (0, 0) through the marked point (8, 6). 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 minutes inches - y = x − 2
- y = 6x
- y = 3x ÷ 4
- y = 4x ÷ 3
Zee's scooter table has the row 5 | 15. Jun's scooter graph has the marked point (4, 8). Both are steady, minutes across and blocks up. Which line is steeper, or are they equally steep?
Zee's table (minutes | blocks) has the row 5 | 15 and starts at (0, 0). Jun's graph is a line through (0, 0) and (4, 8). Zee's table (minutes | blocks) has the row 5 | 15 and starts at (0, 0). Jun's graph is a line through (0, 0) and (4, 8). Zee's table minutes blocks 0 0 5 15 Jun's graph 0 1 2 3 4 5 0 1 2 3 4 5 6 7 8 9 10 minutes blocks - Jun's line
- They are equally steep
- Zee's line