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GRAPHS, FUR1 2005 VCAA 2 MC

Two lines have equations  `y = text(-5)`  and  `y = text(-)x + 5`  respectively.
The point that lies on both of these lines is

A.   (−10, 5)

B.     (−5, 5)

C.     (0, −5)

D.     (5, −5)

E.   (10, −5)

 


Show Answers Only

`E`

Show Worked Solution

`y = text(−5) \ \ \ …\ text{(i)}`

`y = text(−x) + 5 \ \ \ …\ text{(ii)}`

`text{(i) − (ii)}`

`0 = text(−5) − (text(−x) + 5)`

`0 = text(−5) + x − 5`

`x = 10`

`:.\ `  `text(From multiple choice given,)`
  `text((10, −5))\ text(is correct.)`

`=>  E`

Filed Under: Geometry FUR1 lost

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