analytic geometry

posted by .

The (x,y) is equidistant from (0,0) and (4,-2). Find its algebraic equation.

  • analytic geometry -

    must be on the right bisector of the line joining (0,0) and 4,-2)

    slope of that line is (-2-0)/(4-0) = -1/2
    so the slope of the right-bisector must be +2
    and we can start by saying the equation of the right-bisector must be
    y = 2x + b

    but we also know that the mid point of our line segment must lie on this
    midpoint = ((4+0)/2 , (-2+0)/2 ) = (2, -1)

    so in y = mx + b
    -1 = 3(2) + b
    b = -7

    y = 2x - 7

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Analytic Geometry

    A point is equidistant from (-2,4) and (3,5). It is also equidistant from (-2,-3) and (6,-1). Find the point Please I need Help with this
  2. Analytic Geometry

    A point is equidistant from (-2,4) and (3,5). It is also equidistant from (-2,-3) and (6,-1). Find the point Please I need Help with this
  3. Analytic Geometry

    f (1, -2) is equidistant with (4, 4) and (x, 4), find x.
  4. Analytic and Solid Geometry

    Find the point on the y-axis that is equidistant from (5 ,1) and (-3 -1). The answer is (0,4) but I don't know the process.
  5. Analytic Geometry

    The ordinate of a point P is twice the abscissa. This point is equidistant from (-3, 1) and (8,-2). Find the coordinates of P.
  6. Analytic geometry

    Find the equation of the set of all points P(x,y) that is equidistant from (-3,0) and (3,-5).
  7. Analytic geometry

    Find the equation of the set of all points P(x,y) that is equidistant from (-3,0) and (3,-5).
  8. Analytic geometry

    1. Find the equation of the set of all points P(x,y) that is equidistant from (-3,0) and (3,-5). 2. Find the equation of the set of all points P(x,y) that is twice as far from (-8,8) as from (-2,2). 3. Find the equation of the set …
  9. Analytic geometry

    1. Find the equation of the set of all points P(x,y) that is equidistant from (-3,0) and (3,-5). 2. Find the equation of the set of all points P(x,y) that is twice as far from (-8,8) as from (-2,2). 3. Find the equation of the set …
  10. Math (Analytic Geometry)

    1. Find the equation of the set of all points P(x,y) that is equidistant from (-3,0) and (3,-5). 2. Find the equation of the set of all points P(x,y) that is twice as far from (-8,8) as from (-2,2). 3. Find the equation of the set …

More Similar Questions