Problems with circles

[ubenz]

Hi,

I have a problem here that has me stumped:

"Find the point (x,y) on the line y = -3x+2 that is equidistant from the points (0, 1) and (1, -8). "

After a bit of reflection, I realized that the two points given must be on a circle who's centre will be the point (x, y). I can't figure out where to go from there! Can someone point me in the right direction?

Thank you!

 

[Deleted member 4993]

Hi,

I have a problem here that has me stumped:

"Find the point (x,y) on the line y = -3x+2 that is equidistant from the points (0, 1) and (1, -8). "

After a bit of reflection, I realized that the two points given must be on a circle who's centre will be the point (x, y). I can't figure out where to go from there! Can someone point me in the right direction?

Thank you!

Draw a sketch.

Join the given points A (0, 1) & B (1, -8).

What is the equation of the perpendicular bi-sector of AB?

The point of intersection of this line (perp. bisector) with the given line (y = -3x+2) is the point you are looking for here.