Practice: Slope-Intercept Form

Part A: Find the Slope

Directions: Calculate the slope between each pair of points.

1. (1, 3) and (5, 11)

m =

2. (2, 8) and (6, 4)

m =

3. (-3, 2) and (3, 2)

m =

4. (0, -5) and (4, 7)

m =

Part B: Identify Slope and Y-Intercept

Directions: For each equation, identify m (slope) and b (y-intercept).

5. y = 3x + 5

m = _____ b = _____

6. y = -2x + 8

m = _____ b = _____

7. y = x - 4

m = _____ b = _____

8. y = -7

m = _____ b = _____

Part C: Write the Equation

Directions: Write the equation in y = mx + b form.

9. Slope = 4, y-intercept = -1

y = _____________

10. Slope = -3, y-intercept = 6

y = _____________

11. Slope = 1/2, y-intercept = 0

y = _____________

12. Slope = 0, y-intercept = 5

y = _____________

Part D: Find Slope from Tables

Directions: Find the slope from each table.

13.

x	0	2	4	6
y	1	5	9	13

m = _____ Equation: y = _______

14.

x	1	3	5	7
y	10	6	2	-2

m = _____ Equation: y = _______

Part E: Real-World Problems

Directions: Write an equation and interpret slope and y-intercept.

15. A gym charges $25 to join plus $30 per month. Write an equation for total cost (y) after x months.

Equation: y = _____________

Slope means: _____________ | Y-intercept means: _____________

16. A candle is 12 inches tall and burns 2 inches per hour. Write an equation for height (y) after x hours.

Equation: y = _____________

Slope means: _____________ | Y-intercept means: _____________

17. A taxi charges $4 base fare plus $2.50 per mile. What is the cost for a 10-mile ride?

Equation: y = _____________ | Cost for 10 miles: $_______

Challenge: Think About It!

18. Two lines have equations y = 3x + 2 and y = 3x - 5. Without graphing, describe how these lines relate to each other.

19. Write the equation of a line that passes through (2, 7) and (4, 13).

y = _____________