Let’s go through each problem one by one.
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Problem 1:
We have a vertical line at x = 4.
Vertical lines have
undefined slope because you can’t divide by zero (change in x is 0).
→ Slope = undefined
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Problem 2:
Two points on the line: (-3, 5) and (5, -1)
Slope formula: m = (y₂ - y₁)/(x₂ - x₁)
m = (-1 - 5)/(5 - (-3)) = (-6)/(8) = -3/4
→ Slope = -3/4
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Problem 3:
Points: (-5, -5) and (5, -3)
m = (-3 - (-5))/(5 - (-5)) = (2)/(10) = 1/5
→ Slope = 1/5
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Problem 4:
Points: (-5, 5) and (5, 2)
m = (2 - 5)/(5 - (-5)) = (-3)/10 = -3/10
→ Slope = -3/10
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Problem 5:
Equation: y = -4/9 x + 3
This is in slope-intercept form (y = mx + b), so m = -4/9
→ Slope = -4/9
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Problem 6:
Equation: y = -5/6 x - 2
Slope = coefficient of x → -5/6
→ Slope = -5/6
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Problem 7:
Equation: y = -3/10 x - 1
Slope = -3/10
→ Slope = -3/10
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Problem 8:
Equation: y = -1/5 x - 1
Slope = -1/5
→ Slope = -1/5
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Problem 9:
Given:
Slope = 2/5
y-intercept = -2
Slope-intercept form: y = mx + b → y = (2/5)x - 2
→ Equation: y = (2/5)x - 2
*(Plotting not required here since we’re only writing the equation)*
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Problem 10:
Given:
Slope = 5/4
y-intercept = 1
Equation: y = (5/4)x + 1
→ Equation: y = (5/4)x + 1
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Final Answer:
1) undefined
2) -3/4
3) 1/5
4) -3/10
5) -4/9
6) -5/6
7) -3/10
8) -1/5
9) y = (2/5)x - 2
10) y = (5/4)x + 1
Parent Tip: Review the logic above to help your child master the concept of equations of a line worksheet.
