Sure! Let’s solve the
Slope Review worksheet step by step.
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## 📌 Key Concepts:
-
Slope (m) = rise / run = change in y / change in x = `(y₂ - y₁) / (x₂ - x₁)`
- In
slope-intercept form: `y = mx + b`, the coefficient of `x` is the slope.
- For graphs: pick two points on the line, then use the formula above.
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## ✏️ PRACTICE: Find the slope of each line represented by the equation.
1. `y = 3/4 x + 2`
→ This is already in slope-intercept form (`y = mx + b`).
→ Slope =
3/4
✔ Answer: 3/4
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2. `y = -6x + 9`
→ Slope = coefficient of `x` =
-6
✔ Answer: -6
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3. `y = 1/5 x - 1`
→ Slope =
1/5
✔ Answer: 1/5
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4. `y = 0 + 8x`
→ Rewrite as `y = 8x + 0` → Slope =
8
✔ Answer: 8
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5. `y = 6 - 3x`
→ Rewrite as `y = -3x + 6` → Slope =
-3
✔ Answer: -3
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6. `y = 7`
→ This is a horizontal line. All horizontal lines have slope
0.
✔ Answer: 0
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## 📈 BY EYE: Find the slope of each graph. Simplify your answer.
We’ll pick two clear points on each line and use `(y₂ - y₁)/(x₂ - x₁)`.
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7. Graph: Line goes from (0, 0) to (2, 4)
→ Rise = 4 - 0 = 4
→ Run = 2 - 0 = 2
→ Slope = 4/2 =
2
✔ Answer: 2
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8. Graph: Line goes from (0, 2) to (3, 0)
→ Rise = 0 - 2 = -2
→ Run = 3 - 0 = 3
→ Slope = -2/3
✔ Answer: -2/3
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9. Graph: Line goes from (-2, 0) to (0, 4)
→ Rise = 4 - 0 = 4
→ Run = 0 - (-2) = 2
→ Slope = 4/2 =
2
✔ Answer: 2
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10. Graph: Line goes from (0, 0) to (2, -4)
→ Rise = -4 - 0 = -4
→ Run = 2 - 0 = 2
→ Slope = -4/2 =
-2
✔ Answer: -2
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## 🧾 FINAL ANSWERS:
Equations:
1.
3/4
2.
-6
3.
1/5
4.
8
5.
-3
6.
0
Graphs:
7.
2
8.
-2/3
9.
2
10.
-2
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✔ All answers are simplified fractions or integers as requested.
Let me know if you’d like a visual explanation for any graph!
Parent Tip: Review the logic above to help your child master the concept of algebra slope worksheet.
