One end of a line segment has the coordinates (-6,2). If the midpoint is (5,2), then what are the coordinates of the
other endpoint?

The coordinates of the other end is

Step-by-step explanation:

Given

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

So

and

Where and

So, we're solving for

Solving for

Substitute 5 for x and -6 for x₁

Multiply both sides by 2

Add 6 to both sides

Solving for

Substitute 2 for y and 2 for y₁

Multiply both sides by 2

Subtract 2 from both sides

Hence, the coordinates of the other end is

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