Find all points on the y-axis that are twice as far from (−5, 0) as they are from (1, 0). Begin by making a drawing and estimating. Find all such points on the x-axis. In each case, how many points did you find? How do you know that you have found them all?

Question

calculusxy · Answer

@mathmale @mathmate @zepdrix

mathmate · Answer

Hint:
|dw:1475104858993:dw|

calculusxy · Answer

How were you able to determine that?

calculusxy · Answer

Oh never mind. The radii of a circle remains the same in any direction.

calculusxy · Answer

Would I have a sample point be (0, y)? And then I would find the value of y through the distance formula and by making doubling the distance from (1,0) to (0,y)?

zepdrix · Answer

|dw:1475105037286:dw|This was my thought process, a little different that the circle approach I guess :)