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Question
A line intersects y-axis and x-axis at point P and Q, respectively. If R(2, 5) is the mid-point of line segment PQ, them find the coordinates of P and Q.
Solution
Let P point be (0, y)
and Q point be (x, 0)
Since, on y-axis, x = 0 and on x-axis, y = 0
Let coordinates of point P be (0, y)
and coordinates of point Q be (x, 0)
Since, mid-point of points (x1, y1) and (x2, y2) is
`((x_1 + x_2)/2, (y_1 + y_2)/2)`
∴ 2 = `(0 + x)/2 \implies` x = 4
and 5 = `(y + 0)/2 \implies` y = 10
∴ coordinates of P = (0, 10)
and coordinates of Q = (4, 0)
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