Questions: Find the midpoint M of the line segment joining the points P=(7,-2) and Q=(-1,-6).

Find the midpoint M of the line segment joining the points P=(7,-2) and Q=(-1,-6).
Transcript text: Find the midpoint $M$ of the line segment joining the points $P=(7,-2)$ and $Q=(-1,-6)$.
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Solution

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Solution Steps

Step 1: Formula for the midpoint

The midpoint M of a line segment with endpoints P(x₁, y₁) and Q(x₂, y₂) is given by: M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Step 2: Plug in the coordinates

Given P = (7, -2) and Q = (-1, -6), we have x₁ = 7, y₁ = -2, x₂ = -1, and y₂ = -6. Plugging these values into the midpoint formula:

M = ((7 + (-1))/2, (-2 + (-6))/2)

Step 3: Simplify the coordinates

M = (6/2, -8/2) M = (3, -4)

Final Answer:

The midpoint M is (3, -4).

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