Hey guys, if anyone could help with these few questions about straight line graphs, it would be amazingly wonderful:D

I'm in yr11 Advanced Maths, and it would great if you could explain how to answer these questions, however I will give a bit of background on each of them.

There is about 4 questions...

1.Midpoints on a straightline:

-using formula:

Midpoint = ( x(1) + x(2) /2, y(1) + y(2) /2)

Q. a) Point P (x,y) moves so that the midpoint between P and the origin is always a point on the circle x^2 + y^2 =1. Find the equation of the locus of P.

(I don't understand finding the equation of a locus)

Q. b) Find the equation of the locus of the point P(x,y) that is the midpoint between all points on the circle x^2 + y^2 =4 and the origin.

2. Gradient (m)

- m= y(2)- y(1) / x(2) - x(1)

- m= rise/ run

(again this involves locus)

Q. The gradient of the line between a moving point P(x,y) and the point A(5,3), is equal to the gradient of the line PB, where B has coordinates (2,-1). Find the equation of the locus of P.

3. This is do to with finding straight line equations-

Q. A straight line has x-intercelt of 4 and passes through (0,-3). Find its equation.

Also.. I can't remember what collinear is...

Gender:

Points: 2209

Reviews: 39