Find the midpoint of the line joining P(-3, 5) and Q(5, -3).
Question 1 Report
Find the midpoint of the line joining P(-3, 5) and Q(5, -3).
Answer Details
The midpoint of a line segment is the point that is exactly halfway between the endpoints of the line segment. The formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
In this case, we are given the endpoints of the line segment PQ as P(-3, 5) and Q(5, -3). Using the formula for the midpoint, we can find the coordinates of the midpoint as:
Midpoint = ((-3 + 5) / 2, (5 - 3) / 2)
= (2 / 2, 2 / 2)
= (1, 1)
Therefore, the midpoint of the line joining P(-3, 5) and Q(5, -3) is (1, 1).
Hence, the correct answer is option (A) (1, 1).
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