Sure! Let’s solve this worksheet step by step.
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🎯 Objective:
For each linear equation in the form `y = mx + b`, identify:
-
Slope (m) — the coefficient of `x`
-
y-intercept (b) — the constant term (where the line crosses the y-axis)
This is called
slope-intercept form.
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✔ Solutions:
#### 1) `y = -5x + 6`
- Slope =
-5
- y-intercept =
6
#### 2) `y = 3x - 2`
- Slope =
3
- y-intercept =
-2
#### 3) `y = -2x - 4`
- Slope =
-2
- y-intercept =
-4
#### 4) `y = 8x + 1`
- Slope =
8
- y-intercept =
1
#### 5) `y = 5x - 3`
- Slope =
5
- y-intercept =
-3
#### 6) `y = -3x - 9`
- Slope =
-3
- y-intercept =
-9
#### 7) `y = 7x + 2`
- Slope =
7
- y-intercept =
2
#### 8) `y = -x + 6`
> Note: `-x` means `-1x`
- Slope =
-1
- y-intercept =
6
#### 9) `y = -4x + 7`
- Slope =
-4
- y-intercept =
7
#### 10) `y = -6x - 8`
- Slope =
-6
- y-intercept =
-8
#### 11) `y = 8x - 5`
- Slope =
8
- y-intercept =
-5
#### 12) `y = 9x + 3`
- Slope =
9
- y-intercept =
3
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📝 Summary Table (for easy reference):
| Equation | Slope | y-intercept |
|-----------------|-------|-------------|
| 1) y = -5x + 6 | -5 | 6 |
| 2) y = 3x - 2 | 3 | -2 |
| 3) y = -2x - 4 | -2 | -4 |
| 4) y = 8x + 1 | 8 | 1 |
| 5) y = 5x - 3 | 5 | -3 |
| 6) y = -3x - 9 | -3 | -9 |
| 7) y = 7x + 2 | 7 | 2 |
| 8) y = -x + 6 | -1 | 6 |
| 9) y = -4x + 7 | -4 | 7 |
| 10) y = -6x - 8 | -6 | -8 |
| 11) y = 8x - 5 | 8 | -5 |
| 12) y = 9x + 3 | 9 | 3 |
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💡 Tip:
Always remember:
👉 In `y = mx + b`:
-
m = slope (how steep the line is)
-
b = y-intercept (point where line crosses y-axis: `(0, b)`)
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✔ All done! You can now fill in your worksheet with confidence. Let me know if you’d like to graph any of these too!
Parent Tip: Review the logic above to help your child master the concept of y intercept worksheet.