The document discusses formulas for calculating distance, midpoints, and slopes of lines on a coordinate plane. It defines key terms like x-axis, y-axis, origin, and introduces the distance, midpoint, and slope formulas. Examples are provided to demonstrate calculating distances and slopes between points and finding midpoints, and describing lines based on whether their slopes are positive, negative, undefined, or zero.
4. Midpoint Formula Find the midpoint between (-2, 5) and (6, 4) x 1 = -2, x 2 = 6, y 1 = 5, and y 2 = 4 Example: In the coordinate plane, the coordinates of the midpoint of a segment whose endpoints have coordinates and are . M = M =
5. Slope Formula Find the slope between (-2, -1) and (4, 5). Example: Definition: In a coordinate plane, the slope of a line is the ratio of its vertical rise over its horizontal run. Formula: The slope m of a line containing two points with coordinates and is given by the formula where .
![The Coordinate Plane ,[object Object],Definition: x - axis y - axis Origin](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)