Let’s solve each problem one by one. All equations are in the form:
y = mx + b
Where:
-
m is the slope
-
b is the y-intercept (the number added or subtracted at the end)
We just need to read off the numbers from each equation.
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Problem 1: y = -6x + 3
Slope = -6
y-intercept = 3
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Problem 2: y = (3/2)x + 3
Slope = 3/2
y-intercept = 3
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Problem 3: y = 4x + 5
Slope = 4
y-intercept = 5
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Problem 4: y = -2x + 20
Slope = -2
y-intercept = 20
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Problem 5: y = -(2/3)x - 2
Slope = -2/3
y-intercept = -2
*(Note: The minus sign stays with the fraction for slope, and the constant term is negative too.)*
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Problem 6: y = x - 18
This is the same as y = 1x - 18
Slope = 1
y-intercept = -18
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Problem 7: y = (5/3)x - 2
Slope = 5/3
y-intercept = -2
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Problem 8: y = (4/5)x - 1
Slope = 4/5
y-intercept = -1
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Problem 9: y = -(8/3)x + 4
Slope = -8/3
y-intercept = 4
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Problem 10: y = -4x + 1/4
Slope = -4
y-intercept = 1/4
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✔ Double-checked all answers — they match the standard form y = mx + b.
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 find the slope worksheet.
