Pass Check: Coordinates & Midpoints
Find midpoints, lengths and gradients between points, and use straight line equations.
Midpoint
The point exactly halfway between two coordinates.
Gradient
A measure of how steep a line is, calculated as change in y over change in x.
Distance between two points
The straight-line length between two coordinates, found using Pythagoras' theorem.
y = mx + c
The equation of a straight line, where m is the gradient and c is the y-intercept.
Quick check
Mixed quiz
1. Point (-2,3): which quadrant is it in?
2. Point (5,-1): which quadrant is it in?
3. Point (3,5): which quadrant is it in?
4. Why does 4n²+4n+1 prove (2n+1)² is odd?
5. Prove that the product of two consecutive integers n(n+1) is always even. Which factor shows this?
6. Which counter-example disproves: 'the square of any number is positive'?
7. If n represents any integer, what does 2n represent?
8. Why does 8n²+16n+10 show the sum is even?