coordinate geometry

What is Coordinate Geometry?

A system that uses coordinates to represent points, lines, and shapes in a two-dimensional plane.

How do you calculate the distance between two points?

Using the formula: d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}, where (x1, y1) and (x2, y2) are the coordinates of the two points.

How do you find the midpoint of a line segment?

Using the formula: M = (\frac{x1 + x2}{2}, \frac{y1 + y2}{2}), where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the line segment.

How do you calculate the slope of a line?

The slope m is calculated as: m = \frac{y2 - y1}{x2 - x1}, where (x1, y1) and (x2, y2) are two points on the line.