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Question
If `"P"("a"/3, "b"/2)` is the mid-point of the line segment joining A(−4, 3) and B(−2, 4) then (a, b) is
Options
(−9, 7)
`(-3, 7/2)`
(9, −7)
`(3, -7/2)`
Solution
(−9, 7)
Explanation;
Hint:
Mid-point of a line
`((x_1 + x_2)/2, (y_1 + y_2)/2)`
`("a"/3, "b"/2) = ((-4 - 2)/2, (3 + 4)/2)`
= `(-3, 7/2)`
`"a"/3` = −3 ⇒ a = −9
`"b"/2 = 7/2` ⇒ b = 7
(a, b) is (−9, 7)
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