To find the slope and y-intercept from an equation, we look at the
slope-intercept form:
>
y = mx + b
Where:
-
m is the
slope (the number in front of x)
-
b is the
y-intercept (the constant term — the number added or subtracted at the end)
We’ll go through each problem one by one.
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Problem 1: y = -6x + 3
→ Slope (m) = -6
→ y-intercept (b) = 3
---
Problem 2: y = (3/2)x + 3
→ Slope = 3/2
→ y-intercept = 3
---
Problem 3: y = 4x + 5
→ Slope = 4
→ y-intercept = 5
---
Problem 4: y = -2x + 20
→ Slope = -2
→ y-intercept = 20
---
Problem 5: y = (-2/3)x - 2
→ Slope = -2/3
→ y-intercept = -2 *(note: it’s minus 2, so b = -2)*
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Problem 6: y = x - 18
This is the same as y = 1x - 18
→ Slope = 1
→ y-intercept = -18
---
Problem 7: y = (5/3)x - 2
→ Slope = 5/3
→ y-intercept = -2
---
Problem 8: y = (4/5)x - 1
→ Slope = 4/5
→ y-intercept = -1
---
Problem 9: y = (-8/3)x + 4
→ Slope = -8/3
→ y-intercept = 4
---
Problem 10: y = -4x + 1/4
→ Slope = -4
→ y-intercept = 1/4
---
✔ All answers checked and verified.
Final Answer:
1. Slope: -6, y-intercept: 3
2. Slope: 3/2, y-intercept: 3
3. Slope: 4, y-intercept: 5
4. Slope: -2, y-intercept: 20
5. Slope: -2/3, y-intercept: -2
6. Slope: 1, y-intercept: -18
7. Slope: 5/3, y-intercept: -2
8. Slope: 4/5, y-intercept: -1
9. Slope: -8/3, y-intercept: 4
10. Slope: -4, y-intercept: 1/4
Parent Tip: Review the logic above to help your child master the concept of slope intercept worksheet with answers.
