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.
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?
A garden snail crosses Milo's patio at a steady pace and takes the scenic route. The graph shows minutes and inches. What is the slope of the line, in inches per minute?
Graph: minutes across from 0 to 5, ticks every 1; inches up from 0 to 4, ticks every 1. A straight line starts at (0, 0) and goes through the marked point (2.5, 2). Graph: minutes across from 0 to 5, ticks every 1; inches up from 0 to 4, ticks every 1. A straight line starts at (0, 0) and goes through the marked point (2.5, 2). 0 1 2 3 4 5 0 1 2 3 4 minutes inches Read this first
Use the table
hours inches 6 2 15 5 21 7 Pia's rain gauge fills during a steady shower, and the ducks look thrilled. The table shows hours and inches of rain. What is the slope, in inches per hour?
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?
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
- Ari's line
- Bo'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 minutes for each 1 gallon
- 5/3 gallons for each 1 minute
- 5/3 gallons in all
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 = x + 4
- y = 3x ÷ 5
- y = 5x ÷ 3
- y = 10x
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 = 6x
- y = 3x ÷ 4
- y = x − 2
- y = 4x ÷ 3
Noah fills a tub at a steady rate. The line goes through (0, 0) and (4, 14), with x in minutes and y in gallons. Which rule matches the line?
Graph: minutes (x) across, gallons (y) up. A straight line from (0, 0) through the marked point (4, 14). Graph: minutes (x) across, gallons (y) up. A straight line from (0, 0) through the marked point (4, 14). 0 1 2 3 4 0 2 4 6 8 10 12 14 minutes (x) gallons (y) - y = 14x
- y = x + 10
- y = 2x ÷ 7
- y = 7x ÷ 2