Free Online Math Games For teachers

Lines and Slope unit pack (Grade 8 · CCSS 8.EE.B.6, 8.F.A.3): every worksheet and exit ticket for this unit, ready to print in one go. The answer keys print at the end, each on its own page, so you can leave them off. To make a PDF, click Print and choose "Save as PDF." Games: Linear World Cup

Slope and y = mx + b

Grade 8 · CCSS 8.EE.B.6 · Pairs with the Linear World Cup game
Name
Date
Slope m = rise ÷ run = (y2 − y1) ÷ (x2 − x1).   y = mx + b: m is the slope and b is the y-intercept, where the line crosses the y-axis at (0, b). A proportional line, y = mx, goes through the origin (b = 0).

Key vocabulary

Part A: Find the slope between two points

1. (0, 0) and (4, 6)
m =
2. (0, 2) and (3, 8)
m =
3. (0, 5) and (4, −3)
m =
4. (0, −1) and (6, 3)
m =

Part B: Proportional passes (the ball starts at the origin)

5. Pass to (4, 6).
y =
6. Pass to (5, −10).
y =
7. Pass to (3, 1).
y =

Part C: Write y = mx + b (the ball is at (0, b))

8. The ball is at (0, 2). The goal is at (6, −1).
y =
9. The ball is at (0, −3). The goal is at (4, 5).
y =
10. The ball is at (0, 4). A teammate is at (3, 10).
y =
11. The ball is at (0, 1). A teammate is at (5, 1).
y =

Part D: Read, graph and apply

12. Graph y = −½x + 2 (your answer to #8). Mark the y-intercept and the goal.

13. Name the slope and y-intercept. y = −3x + 7

m =   b =

14. A taxi charges $3 plus $2 per mile. Write an equation for the cost y of a ride of x miles. What does an 8-mile ride cost?

y =   cost $

15. Find the mistake. Jamie passed from (0, 0) to (4, 6) and wrote y = (4/6)x. What went wrong?

Correct: y =
Play the game: studentmathgames.com/linear-world-cup© 2026 Mr. H · Free for classroom use

Exit Ticket: Slope and y = mx + b

Grade 8 · CCSS 8.EE.B.6
Name
1. The ball is at (0, 1). The goal is at (3, −5). Write the equation of the shot.
y =
2. Name the slope and y-intercept of y = 4x − 2.
m = b =
3. Is y = 5x a proportional relationship? How do you know?
Yes / No

Answer Key: Slope and y = mx + b

For the teacher
  1. 6 / 4 → m = 3/2
  2. (8 − 2) / 3 = 6/3 → m = 2
  3. (−3 − 5) / 4 = −8/4 → m = −2
  4. (3 − (−1)) / 6 = 4/6 → m = 2/3
  5. y = (3/2)x
  6. −10 / 5 → y = −2x
  7. y = (1/3)x
  8. b = 2, m = (−1 − 2) / 6 = −1/2 → y = −(1/2)x + 2
  9. b = −3, m = (5 − (−3)) / 4 = 2 → y = 2x − 3
  10. b = 4, m = (10 − 4) / 3 = 2 → y = 2x + 4
  11. b = 1, m = 0 / 5 = 0 → y = 1 (a flat pass)
  12. Line through (0, 2) that falls 1 for every 2 to the right; it passes through (2, 1), (4, 0) and the goal at (6, −1).
  13. m = −3, b = 7
  14. y = 2x + 3; 2(8) + 3 = $19
  15. Jamie wrote run over rise. Slope is rise over run: y = (3/2)x

In the game, a wrong slope sends the line (and the ball) visibly off target, and a wrong b starts the line away from the ball. Easy mode previews the line while students type.

Full Teacher Guide: studentmathgames.com/linear-world-cup/guide© 2026 Mr. H

Answer Key: Exit Ticket

Slope and y = mx + b
  1. b = 1, m = (−5 − 1) / 3 = −2 → y = −2x + 1
  2. m = 4, b = −2
  3. Yes. b = 0, so the line goes through the origin, and y is always 5 times x.

Quick read: y = −2x − 5 on #1 means the student used the goal's y-value as b; y = −(1/2)x + 1 means run over rise. Try Proportional mode on Easy with them.