Sunday

February 1, 2015

February 1, 2015

Posted by **xavier** on Thursday, December 13, 2012 at 4:37pm.

Find the equation of the locus of a moving point if the sum of the slopes of the line joining it to (1,3) and (4,-2) is 1.

- Analytic Geometry -
**Damon**, Thursday, December 13, 2012 at 6:55pmP(x,y)

m1 = (y-3)/(x-1)

m2 = (y+2)/(x-4)

m1+m2 = 1

(y-3)/(x-1) + (y+2)/(x-4) = 1

(y-3)(x-4) + (y+2)(x-1) = (x-4)(x-1)

xy - 3x -4y+ 12 + xy +2x -y -2 = x^2-5x+4

x^2 - 4 x -2 xy + 5 y - 6 = 0

**Answer this Question**

**Related Questions**

Analytic Geometry - Find the equation of a locus of a point which moves so that ...

geometry - A moving point is always equidistant from (5,3) and the line 3x+y+5=0...

Analytic Geometry - Express by an algebraic equation the statement that the line...

geometry - A moving point is always equidistant from (-3,2) and the line 2x-y+2=...

Analytic Geometry - Express by an algebraic equation the statement that the line...

geometry - A moving point is always equidistant from (-3,2) and the line 2x-y+2=...

Analytic Geometry - Express by an algebraic equation the statement that the line...

analytic geometry - The line joining (-3,10) and (4,3) is divided in what ratio ...

Analytic Geometry - Please help. I've been trying to solve these for more than ...

math - what is the locus of the midpoints of the line segments joining a given ...