Coordinate geometry Flashcards
1
Q
Distance of A(x,y) and B(w,z)
A
(x-w)² + (y-z)² = √ans
Pythagoras
2
Q
Midpoint of A(x,y) and B(w,z)
A
(x+w)/2, (y+z)/2
3
Q
Gradient of A(x,y) and B(w,z)
A
(y-z)/(x-w)
change in y over change in z
4
Q
If 2 lines have the same gradient they are
A
parallel
5
Q
How to know if 2 lines are perpedicular
A
there gradients should multiply together to make -1
6
Q
How to find out the coordinate of when 2 lines intercept
A
simultaneous equations
7
Q
How to find equation of a line using a coordinate and gradient
A
y-y₁ = m(x-x₁) when (x₁,y₁) is on the line
