10 Variations of Slope Worksheets [with Answers] - EduWorksheets - Free Printable

To find the slope of a line passing through two points, we use the formula:

Slope = (y₂ - y₁) / (x₂ - x₁)

Let’s go through each problem step by step.

---

Problem 1: (5,6) and (1,-2)
y₂ - y₁ = -2 - 6 = -8
x₂ - x₁ = 1 - 5 = -4
Slope = -8 / -4 = 2

---

Problem 2: (1,7) and (1,-2)
y₂ - y₁ = -2 - 7 = -9
x₂ - x₁ = 1 - 1 = 0
Slope = -9 / 0 → Undefined (vertical line)

---

Problem 3: (-2,3) and (8,-12)
y₂ - y₁ = -12 - 3 = -15
x₂ - x₁ = 8 - (-2) = 10
Slope = -15 / 10 = -3/2 or -1.5

---

Problem 4: (-19,12) and (-9,1)
y₂ - y₁ = 1 - 12 = -11
x₂ - x₁ = -9 - (-19) = 10
Slope = -11 / 10 = -1.1

---

Problem 5: (-7,4) and (9,-4)
y₂ - y₁ = -4 - 4 = -8
x₂ - x₁ = 9 - (-7) = 16
Slope = -8 / 16 = -1/2 or -0.5

---

Problem 6: (3,11) and (6,-10)
y₂ - y₁ = -10 - 11 = -21
x₂ - x₁ = 6 - 3 = 3
Slope = -21 / 3 = -7

---

Problem 7: (3,9) and (1,8)
y₂ - y₁ = 8 - 9 = -1
x₂ - x₁ = 1 - 3 = -2
Slope = -1 / -2 = 1/2 or 0.5

---

Problem 8: (-7,4) and (1,-4)
y₂ - y₁ = -4 - 4 = -8
x₂ - x₁ = 1 - (-7) = 8
Slope = -8 / 8 = -1

---

Problem 9: (19,-2) and (-11,10)
y₂ - y₁ = 10 - (-2) = 12
x₂ - x₁ = -11 - 19 = -30
Slope = 12 / -30 = -2/5 or -0.4

---

Problem 10: (19,3) and (20,3)
y₂ - y₁ = 3 - 3 = 0
x₂ - x₁ = 20 - 19 = 1
Slope = 0 / 1 = 0 (horizontal line)

---

Final Answer:
1) 2
2) Undefined
3) -3/2
4) -11/10
5) -1/2
6) -7
7) 1/2
8) -1
9) -2/5
10) 0