Question

Which of the following points is an equal distance (equidistant) from A(0, −4) and B(−2, 0)?

J(−4, −5)
K(−3, 0)
M(0, 0)
N(3, 0)

Answer 1

are you practicing using the distance formula now as the subject?
\[d = \sqrt{(x2-x1)^2+(y2-y1)^2}\]

Answer 2

I used the distance formula and the mid-point formula. And neither of them has given me the answer

Answer 3

k
did you do minus a negative as addition wrong maybe,
a - (-b) = a+ b

Answer 4

Yes for the distance formula I got 20. For the mid-point formula I got (-1,-2) You can check my answers

Answer 5

do your distance formula for the last point

N(3 , 0)

distance from (0, -4) to N
and
distance from (-2, 0) to N

Answer 6

OK one sec

Answer 7

They are both 25. So does that mean it's (3,0)?

Answer 8

@DanJS

Answer 9

both are root(25) = 5
the distance is the same from both given points to point N

Answer 10

OK so (3,0) is the equal distant! Thanks!

Answer 11

\[\sqrt{(0-3)^2+(-4-0)^2} = \sqrt{(-2-3)^2+(0-0)^2} = \sqrt{25} = 5\]

Answer 12

yep, not sure where you went wrong to begin with, but you calculated it correct now