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?
Bo paints a trim board at a steady pace and gets a splash on the nose. The graph shows minutes and feet, marked at 3/4 minute. What is the slope, in feet per minute?
Graph: minutes across from 0 to 2, ticks every 1/4; feet up from 0 to 2, ticks every 1/4. A straight line starts at (0, 0) and goes through the marked point (3/4, 9/10). Graph: minutes across from 0 to 2, ticks every 1/4; feet up from 0 to 2, ticks every 1/4. A straight line starts at (0, 0) and goes through the marked point (3/4, 9/10). 0 1/4 1/2 3/4 1 5/4 3/2 7/4 2 0 1/4 1/2 3/4 1 5/4 3/2 7/4 2 minutes feet 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 from Milo's printer vary directly with the minutes. It prints 45 pages in 6 minutes. How many minutes does it need for 80 pages?
Milo's bike graph passes through (3, 22). Noah's bike table has the row 6 | 30. Both are steady, with hours and miles. How many more miles per hour does Milo go?
Milo's line goes through (0, 0) and (3, 22). Noah's table (hours | miles) has the row 6 | 30 and starts at (0, 0). Milo's line goes through (0, 0) and (3, 22). Noah's table (hours | miles) has the row 6 | 30 and starts at (0, 0). Milo 0 1 2 3 0 2 4 6 8 10 12 14 16 18 20 22 hours miles Noah hours miles 0 0 6 30 Ren's bean plant grows 18 inches in 10 days. Luz's bean plant graph passes through (4, 6). Both are steady, with days and inches. How many more inches per day does Ren's plant grow?
Luz's line goes through (0, 0) and (4, 6), with days across and inches up. Luz's line goes through (0, 0) and (4, 6), with days across and inches up. 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 8 days inches Noah's snail crawls at a steady pace. The line goes through (0, 0) and (2/3, 3/4), 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 (2/3, 3/4). Graph: minutes (x) across, inches (y) up. A straight line from (0, 0) through the marked point (2/3, 3/4). 0 1/3 2/3 1 0 0.25 0.5 3/4 1 minutes inches - y = x + 1/12
- y = 9x ÷ 8
- y = 8x ÷ 9
- y = 3x ÷ 4
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 = 3x ÷ 4
- y = 10x ÷ 9
- y = x − 1/12
- y = 9x ÷ 10
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 = 6x
- y = 15x ÷ 2
- y = 2x ÷ 15
- y = x − 39
Zee's scooter graph has blocks across and minutes up. Its line has slope 1/5. Which sentence says what the slope means?
- 1/5 minute in all
- The line starts at 1/5 minute
- 1/5 minute for each 1 block
- 1/5 block for each 1 minute