Let’s work through the problem step by step.
We are given:
- My Ordered Pair: (-3, 1)
- Partner’s Ordered Pair: (-1, 1)
We need to find:
1. The distance between these two points.
2. The midpoint between these two points.
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Step 1: Distance Between Points
The formula for distance between two points (x₁, y₁) and (x₂, y₂) is:
> Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values:
- x₁ = -3, y₁ = 1
- x₂ = -1, y₂ = 1
So:
Distance = √[(-1 - (-3))² + (1 - 1)²]
= √[(2)² + (0)²]
= √[4 + 0]
= √4
=
2
✔ That matches what’s written on the worksheet.
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Step 2: Midpoint Between Points
The midpoint formula is:
> Midpoint = ((x₁ + x₂)/2 , (y₁ + y₂)/2)
Plug in the values:
x-coordinate: (-3 + (-1)) / 2 = (-4)/2 = -2
y-coordinate: (1 + 1) / 2 = 2/2 = 1
So midpoint =
(-2, 1)
✔ That also matches what’s written.
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Graph Check (Optional but helpful):
Plotting both points:
- (-3, 1) → 3 left, up 1
- (-1, 1) → 1 left, up 1
They’re on the same horizontal line (same y-value), so distance is just the difference in x-values: from -3 to -1 is 2 units — correct!
Midpoint should be halfway — at x = -2, y = 1 → (-2, 1) — perfect.
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Final Answer:
Distance = 2, Midpoint = (-2, 1)
Parent Tip: Review the logic above to help your child master the concept of midpoint formula worksheet.
