Coordinate geometry · Grade 10
In Grade 10 you learn: gradients, midpoints and distances.
Coordinate geometry uses algebra to describe lines and circles. With the coordinates of points you can find gradients, midpoints and distances, write equations of lines, and spot parallel and perpendicular lines and circles.
Key facts
- Parallel lines have equal gradients; perpendicular gradients multiply to −1.
- Midpoint ((x₁ + x₂)/2, (y₁ + y₂)/2); distance √((x₂ − x₁)² + (y₂ − y₁)²).