Coordinate Geometry

Coordinate geometry explained with key concepts, formulas, and examples covering points, distance, section formula, slope, and equations of lines.

1.Cartesian Plane

Understanding the Cartesian plane, axes, origin and quadrants with simple student-friendly notes.

2.Coordinates and Quadrants

Learn how coordinates represent the position of a point and how the four quadrants of the Cartesian plane are identified.

3.Plotting Points on the Cartesian Plane

Learn step-by-step how to plot points using coordinates on the Cartesian plane with simple student-friendly notes.

4.Distance Between Two Points

Learn how to find the distance between two points using the distance formula derived from the Pythagorean theorem.

5.Midpoint Formula

Understand how to find the midpoint of a line segment using its endpoints on the Cartesian plane with clear student-friendly notes.

6.Slope of a Line

Understand the concept of slope, rise and run, and how the slope describes the steepness and direction of a line.

7.Finding Slope from Two Points

Learn how to calculate the slope of a line when coordinates of any two points on the line are known.

8.Types of Slopes (Positive, Negative, Zero, Undefined)

Understand the four types of slopes—positive, negative, zero, and undefined—with simple explanations and examples.

9.Equation of a Line: Slope-Intercept Form

Learn how to write the equation of a line in slope-intercept form using slope and y-intercept with clear explanations and examples.

10.Equation of a Line: Point-Slope Form

Learn how to write the equation of a line using a known point and its slope with clear student-friendly notes.

11.Equation of a Line: Two-Point Form

Learn how to write the equation of a line using the coordinates of any two points with clear explanations and examples.

12.Equation of a Line: Intercept Form

Learn how to write the equation of a line using its x-intercept and y-intercept with clear explanations and examples.

13.Parallel Lines and Their Slopes

Understand the condition for lines to be parallel using slopes, with simple notes and examples.

14.Perpendicular Lines and Their Slopes

Learn the slope condition for perpendicular lines with clear notes and examples.