Coordinate Geometry Equation?

Question

Can someone please give the equation for calculating coordinates
Details:
Given coordinates for point A
Given distance between point A and point B
Calculate coordinates of point B.

Thanks

Circle??????

Let's say the line is on the positive X-Axis

Answer 1

I think you meant:
How to find the point 'P' that divides the line segment AB in a given ratio.
Consider the point P(xP , yP) that lies on the line segment AB joining points A(xA , yB) and B(xA , yB):
Point P divides AB in the ratio k1 : k2 , and the coordinates of point P are given by these formulas:

Xp = ((K1.Xb + K2Xa)/(K1 + K2)
Yp = ((K1.Yb + K2Ya)/(K1 + K2)

Answer 2

It's a circle, which is expressed as
(x - h)^2 + (y-k)^2 = r^2

where the center is the point A with the coordinates h,k
and the radius is the distance between A and B

Answer 3

i imagine that's a mistake that that there is not any x in 3y + 7 = 29 i imagine it truly is going to examine 3y + 7x = 29 The question as requested means although value for x we've the answer might want to fulfill 3y = 29-7 or 3y = 22 or y = 22/3 for this reason any horizontal line it is autonomous of x will be parallel to y = 22/3 So your answer stands proud because the line y = 5 that's a horizontal line parallel to y = 22/3 and passes by the piont -2,5. besides the undeniable fact that i do not imagine it is the question your instructor needs answering, i imagine it truly is meant to ask: the point which passes by -2,5 and parallel to 3y + 7x = 29

Answer 4

Think of it like this. You are point A
The distance between you and point B is a rope.
There are an infinite amount of points the length of the rope from you and they define a sphere.
You need a direction to determine just one point B.

Answer 5

it could be any point on a circle.
r2 = (x - h)2 + (y - k)2.

Dennis K. is right. In three dimensions it would be a sphere. given by
the equation for a sphere of radius R with center at (a,b,c) is
(x-a)^2 + (y-b)^2 + (z-c)^2 = R^2.