If (, 4) is the mid-point of the segment joining the points P(–6, 5) and R(–2, 3), then the value of ‘a’ is
Question
If (, 4) is the mid-point of the segment joining the points P(–6, 5) and R(–2, 3), then the value of ‘a’ is
Solution
The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula ((x1 + x2)/2, (y1 + y2)/2).
Given that the midpoint is (a, 4) and the endpoints are P(-6, 5) and R(-2, 3), we can set up the following equations to solve for 'a':
(a, 4) = ((-6 -2)/2, (5 + 3)/2)
Solving the equations gives:
a = (-6 -2)/2 = -4 4 = (5 + 3)/2 = 4
So, the value of 'a' is -4.
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