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Slope and Rate Review

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Slope and Rate Review worksheet preview

Slope and Rate Review

Graph with slope illustration

📚 Part 1: Vocabulary and Multiple Choice

1. What is the slope formula?

m = x₂ - x₁ / y₂ - y₁

m = y₂ - y₁ / x₂ - x₁

m = x₁ - x₂ / y₁ - y₂

m = y₁ - y₂ / x₁ - x₂

2. Which term describes where a line crosses the y-axis?

Slope

Y-intercept

Rise

Run

3. Check all that apply. Slope tells us:

How steep a line is

The rate of change

Where the line crosses the x-axis

How y changes when x changes by 1

Remember: Slope shows how y changes when x changes by 1 — it's the rate of change.

🔢 Part 2: Calculate Slope

4. Find the slope between the points (1, 2) and (5, 10).

Slope = _______

5. Find the slope between the points (2, 4) and (6, 8).

Slope = _______

6. Find the slope between the points (0, 5) and (5, 0).

Slope = _______

7. A car travels 60 miles in 2 hours. What is its rate of change (speed)?

Rate of change = _______ miles per hour

Remember: Slope shows how y changes when x changes by 1 — it's the rate of change.

✏️ Part 3: Written Response

8. In your own words, what does slope tell you about a line?
9. For the equation y = 5x - 2, identify the slope (m) and the y-intercept (b).

Slope (m) = _______

Y-intercept (b) = _______

10. Match each term with its definition by writing the correct letter:

_____ Slope

_____ Rise

_____ Run

_____ Rate of Change

_____ Y-Intercept

Definitions:

A. How far the line moves left or right

B. Where the line crosses the y-axis

C. How steep a line is (rise/run)

D. How one quantity changes compared to another

E. How much the line moves up or down

Remember: Slope shows how y changes when x changes by 1 — it's the rate of change.

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