Find the midpoint M of the line segment joining the points P = 6, 7 and Q = −−4, 3.
Question
Find the midpoint M of the line segment joining the points
P = (6, 7)
and
Q = (−4, 3).
Solution
The midpoint M of a line segment joining two points P(x1, y1) and Q(x2, y2) can be found using the following formula:
M = [(x1 + x2)/2 , (y1 + y2)/2]
Here, the coordinates of point P are (6, 7) and the coordinates of point Q are (-4, 3).
Substituting these values into the formula, we get:
M = [(6 + -4)/2 , (7 + 3)/2] M = [2/2 , 10/2] M = [1, 5]
So, the midpoint M of the line segment joining the points P and Q is (1, 5).
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