SOLUTION: Find an equation such that the distance between (x,y) and (3,5) is twice that of (-2,-4) Please help!! Thanks

Question 785424: Find an equation such that the distance between (x,y) and (3,5) is twice that of (-2,-4)
Please help!!
Thanks
Answer by Menjax(62) (Show Source): You can put this solution on YOUR website!
Find an equation such that the distance between (x,y) and (3,5) is twice that of (-2,-4)
Interpretation:
Find an equation that describes all the points that are spaced twice the distance between (-2,-4) and (3,5) from (3,5). In other words find a circle with radius of twice the distance between (-2,-4) and (3,5).
Find the distance between (-2,-4) and (3,5):
Using the distance formula

Seeing that the points are double the distance away, the radius of the circle is 2d which means the equation describing the points is

explaination
any point on this line is twice the distance between(3,5) and (-2,-4) from the centre (3,5)

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