Let's solve each of the four linear graphs shown in the worksheet. We'll determine the
y-intercept and
slope for each line.
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🔹 Graph 1 (Top Left) – Blue Line
-
Step 1: Find y-intercept
- The y-intercept is where the line crosses the
y-axis (x = 0).
- The line crosses at
(0, 2).
-
✔ y-intercept = 2
-
Step 2: Find slope
- Slope = rise / run
- Pick two points on the line: (0, 2) and (2, 4)
- Rise = 4 - 2 = 2
- Run = 2 - 0 = 2
- Slope = 2/2 =
1
-
✔ Slope = 1
✔ Answer:
- y-intercept:
2
- Slope:
1
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🔹 Graph 2 (Top Right) – Red Line
-
Step 1: Find y-intercept
- The line crosses the y-axis at
(0, 1).
-
✔ y-intercept = 1
-
Step 2: Find slope
- Pick two points: (0, 1) and (3, 0)
- Rise = 0 - 1 = -1
- Run = 3 - 0 = 3
- Slope = -1/3
-
✔ Slope = -1/3
✔ Answer:
- y-intercept:
1
- Slope:
-1/3
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🔹 Graph 3 (Bottom Left) – Green Line
-
Step 1: Find y-intercept
- The line crosses the y-axis at
(0, 5).
-
✔ y-intercept = 5
-
Step 2: Find slope
- Pick two points: (0, 5) and (2, 1)
- Rise = 1 - 5 = -4
- Run = 2 - 0 = 2
- Slope = -4/2 =
-2
-
✔ Slope = -2
✔ Answer:
- y-intercept:
5
- Slope:
-2
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🔹 Graph 4 (Bottom Right) – Purple Line
-
Step 1: Find y-intercept
- The line crosses the y-axis at
(0, -3).
-
✔ y-intercept = -3
-
Step 2: Find slope
- Pick two points: (0, -3) and (3, 3)
- Rise = 3 - (-3) = 6
- Run = 3 - 0 = 3
- Slope = 6/3 =
2
-
✔ Slope = 2
✔ Answer:
- y-intercept:
-3
- Slope:
2
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✔ Final Answers:
| Graph | y-intercept | Slope |
|-------|-------------|-------|
| 1 | 2 | 1 |
| 2 | 1 | -1/3 |
| 3 | 5 | -2 |
| 4 | -3 | 2 |
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📝 Summary:
To find the
y-intercept, locate where the line crosses the
y-axis (x = 0).
To find the
slope, use the formula:
>
Slope = (change in y) / (change in x) = rise/run
Use any two points on the line to calculate it.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of find the slope and y intercept worksheet.
