smc-4422-10-Mid-point

Cartesian Plane, SMB-010

The point `C(-2,3)` is the midpoint of the interval `AB`, where `B` has coordinates `(-1,0).`

What are the coordinates of `A`? (3 marks)

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`(-3,6)`

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`text(Using the midpoint formula):`

`:. A\ text(has coordinates)\ (-3,6).`

Given `C(-3,-5)` and `D(-5,1)`, find the midpoint of `CD`. (2 marks)

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`(-4, -2)`

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`C(-3,-5),\ \ \ D(-5,1)`

Find `M`, the midpoint of `PQ`, given `P(2, -1)` and `Q(5, 7)`. (2 marks)

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`M(7/2, 3)`

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`P(2,-1)\ \ \ Q(5,7)`

The point `R(9, 5)` is the midpoint of the interval `PQ`, where `P` has coordinates `(5, 3).`

What are the coordinates of `Q`?

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`C`

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`text(Using the midpoint formula):`

`:. Q\ text(has coordinates)\ (13, 7).`

`=> C`

Let `M` be the midpoint of `(-1, 4)` and `(5, 8)`.

Find the equation of the line through `M` with gradient `-1/2`. (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

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`x + 2y-14 = 0`

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`(-1,4)\ \ \ (5,8)`

`text(Equation through)\ (2,6)\ text(with)\ m = -1/2`