Question About Locus. Please Help! (1 Viewer)

[Infinity42]

(Can the point-gradient formula be applied to find the locus for the following questions)
Find the equation of the locus of a point P(x, y) that moves according to the following conditions:
a) The distance of P from the line x = 4 is equal to its distance from the line y = 1.
b) The distance of P from the line y = -5 is three-quarters of its distance from the line x = 2.

 

[Carrotsticks]

(a) is best done by drawing a diagram. You can see that the locus is the line that goes through the intersection point and has gradient 1.

(b) can be done using a similar kind of mentality.

 

[braintic]

(a) is best done by drawing a diagram. You can see that the locus is the line that goes through the intersection point and has gradient 1.

Or gradient -1.

 

[Carrotsticks]

Or gradient -1.

Yep, thank you. Typical me to forget something like that.

 

[braintic]

Yep, thank you. Typical me to forget something like that.

Typical of everyone I would think. I've wanted to crawl back into my shell after some of the bloopers I've made here.
At least it was right, just not complete. Unlike me, I don't think I've seen something you've said which was completely wrong.