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...
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