Math worksheet for calculating slope from graphs and equations, with practice in slope-intercept form.

Let’s go step by step to find the slope for each problem.

---

Problem 1:
We have a line going through two points on the graph. Let’s pick two clear points:
- Point A: (-4, 2)
- Point B: (4, -2)

Slope = (change in y) / (change in x) = (y₂ - y₁) / (x₂ - x₁)
= (-2 - 2) / (4 - (-4)) = (-4) / (8) = -1/2

✔ Slope = -1/2

---

Problem 2:
Points:
- Left point: (-5, -2)
- Right point: (5, -1)

Slope = (-1 - (-2)) / (5 - (-5)) = (1) / (10) = 1/10

✔ Slope = 1/10

---

Problem 3:
Points:
- Top left: (0, 4)
- Bottom right: (4, -4)

Slope = (-4 - 4) / (4 - 0) = (-8)/4 = -2

✔ Slope = -2

---

Problem 4:
Points:
- Bottom left: (-1, -5)
- Top right: (4, 5)

Slope = (5 - (-5)) / (4 - (-1)) = (10)/(5) = 2

✔ Slope = 2

---

Problem 5:
Equation: y = (1/2)x - 3
In slope-intercept form (y = mx + b), m is the slope.
So slope = 1/2

✔ Slope = 1/2

---

Problem 6:
Equation: y = (-2/7)x + 1
Slope = -2/7

✔ Slope = -2/7

---

Problem 7:
Equation: y = 10x + 2
Slope = 10

✔ Slope = 10

---

Problem 8:
Equation: y = -3x
This is same as y = -3x + 0 → slope = -3

✔ Slope = -3

---

Problem 9:
Given:
- Slope = 1/7
- y-intercept = -2

Slope-intercept form: y = mx + b
→ y = (1/7)x + (-2) → y = (1/7)x - 2

✔ Equation: y = (1/7)x - 2

---

Problem 10:
Given:
- Slope = -3/4
- y-intercept = -3

Equation: y = (-3/4)x + (-3) → y = (-3/4)x - 3

✔ Equation: y = (-3/4)x - 3

---

Final Answer:

1) Slope = -1/2
2) Slope = 1/10
3) Slope = -2
4) Slope = 2
5) Slope = 1/2
6) Slope = -2/7
7) Slope = 10
8) Slope = -3
9) Equation: y = (1/7)x - 2
10) Equation: y = (-3/4)x - 3