Explore coordinate systems, equations, and geometric relationships using algebraic principles.
Understand coordinate systems, distance formulas, and how algebra meets geometry.
A two-dimensional plane defined by two perpendicular axes. Learn about quadrants, plotting points (x,y), and distance calculations.
Calculate the distance between two points using the formula: $ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $.
Find the exact center between two points using the formula: $ M = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right) $.
Determine the steepness of a line with the formula: $ m = \frac{y_2 - y_1}{x_2 - x_1} $.
Explore slope-intercept form $ y = mx + b $, point-slope form, and standard form of linear equations.