M is the midpoint if AB . If coordinates of A are (-1,5) and the coordinates of M are (3,3) , what are the coordinates of B?

The co-ordinates of B are ( 7,1)

Step-by-step explanation:

Step(i):-

Given that 'M' is the midpoint of AB

Given co-ordinate points are A(-1,5) and midpoint M(3,3)

we know that the midpoint formula

Step(ii):-

Equating

             and  

cross multiplication, we get

     6 = -1 + x₂    and  6 = 5 +y₂

     x₂ = 6+1        and y₂ = 6-5

    x₂  = 7         and    y₂ = 1

Final -

The co-ordinates of B are ( 7,1)

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step-by-step explanation:

step-by-step explanation: