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stepladder [879]
3 years ago
7

The line ab has midpoint (-2,4). a has coordinates (3,-2). find the coordinates of b

Mathematics
1 answer:
hodyreva [135]3 years ago
6 0

Answer:

B = (-7,10)

Step-by-step explanation:

Given that , a line AB has midpoint (-2,4) and the coordinates of A is ( 3 , -2). We need to find out the coordinates of B .

  • Let coordinate of B be ( p,q ). We can use midpoint formula , as ,

=> Midpoint = ( x₁ + x₂ / 2 , y₁ + y₂/2 )

=> ( -2,4 ) = ( p + 3)/2 , ( q -2 )/2

  • On comparing ,

=> -2 = p + 3/2

=> p + 3 = -4

=> p = -3 - 4

=> p = (-7)

<u>Also </u><u>:</u><u>-</u><u> </u>

=> q - 2/2 = 4

=> q -2 = 8

=> q = 8 + 2

=> q = 10

<h3><u>Hence</u><u> the</u><u> </u><u>coordinates</u><u> </u><u>of </u><u>B </u><u>is</u><u> </u><u>(</u><u> </u><u>-</u><u>7</u><u>,</u><u>1</u><u>0</u><u> </u><u>)</u><u> </u><u>.</u></h3>
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