SOLUTION: Hi find the equation of the locus of a point P(x, y) that moves according to the following conditions. The distance of P from the line y=-5 is 3/4 of its distance from the l

Question 1129002: Hi
find the equation of the locus of a point P(x, y) that moves according to the following conditions.
The distance of P from the line y=-5 is 3/4 of its distance from the line x=2.
Thanks
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The distance between the point P(x,y) and the line y=-5 is y-(-5) = y+5.
The distance between the point p(x,y) and the line x=2 is x-2.
We want the distance from y=-5 to be 3/4 of the distance from x=2:

Manipulate the equation as needed if a particular form of the equation is required.
RELATED QUESTIONS
Hi What is the equation of the locus of a point P(x, y) that moves according to the... (answered by greenestamps)

A point P(x,y) moves so that its distance from the point K(2,5) is twice its distance... (answered by MathLover1)

P(x,y)is a variable point and A(2,2) is a fixed point. Find the equation of the locust of (answered by jim_thompson5910)

Please explain how you do this question: Derive the equation of the locus of a point... (answered by stanbon)

Derive the equation of the locus of a point P(x,y) which moves so that its distance from... (answered by josgarithmetic,ikleyn,greenestamps)

Find the locus of a point P that moves so that PA^2 - PB^2 =... (answered by ikleyn)

A point P(x,y) moves in such a way that its distance from (3,2) is always one half of its (answered by josgarithmetic,ikleyn)

Please help: A point P(x,y) moves in such a way that its distance from (3,2) is always... (answered by rothauserc,ikleyn)

Find the locus of a point P that moves at a constant distant of (i) two units from the... (answered by Alan3354)