I don't mind helping you out, but you should also realise, that getting help like this in the long run, isn't gonna help you at all.
4.
Triangle of ABC
Point A = (1,1)
Point B = (-1,4)
Point C = ???
Grandients
AB = -3m
AC = 3m
BC = m
a) Find the value of m
b) Find the coordinates of C
c) Show that AC=2AB
1) Plot the A and B in to a coordinate system you have drawn on a piece of paper.
2) add a line from A to B, and then you have AB. Unless I have misunderstood the meaning the term "Grandient", you should be able to work out the gradient of AB.
3) Taking the gradient of AB, you can isolate m. You have now answered question a) and have the the gradients for AB, AC and BC.
4) Since you have the gradients for AC and BC, you can draw two lines. The first line stems from A and uses the gradient AC. The other stems from B and uses the gradient from BC. Where AC and BC intersect you have point C. You have now answered question b), and you have a triangle.
5) If the triangle has a right angle, it is a piece of cake, since you have "A squared + B squared = C squared". All you have to do, is to figure out which of AB, AC and BC goes where. There, all done.
6) oh yeah, I forgot the header... "linear equations"... but it shouldn't be that hard to put equations on this afterwards and get it right.
Post Edited (12-24-03 03:31)
It's only after we've lost everything, that we are free to do anything.