COORDINATE GEOMETRY

Get Started. It's Free COORDINATE GEOMETRY 1. THE DISTANCE FORMULA

1.2. Pythagorean Theorem can be used to find the distance between two points.

1.2.1. The Pythagorean theorem is attributed to Greek mathematician PYTHAGORAS OF SAMOS

2. MIDPOINT FORMULA

2.3. to find the x coordinates

2.3.1. add the first and second value of x and divide it by two

2.4. to find the y coordinates

2.4.1. add the first and second value of y and divide it by two

3. WRITING THE EQUATIONS OF THE LINE

3.1. linear equations can be written in 3 forms

3.1.1. Standard Form : Ax + By = C

3.1.2. General Form : Ax + By + C = 0

3.1.3. Slope - Intercept Form : y = mx + b

4. GRAPHING LINEAR EQUATIONS

4.1. we can graph linear equations using

4.1.1. x - and y intercepts

4.1.2. a point and slope of the line

4.1.3. two points of the line

5. PARALLEL AND PERPENDICULAR LINES

5.1. Two lines are parallel if they have the same slope and different y - intercepts

5.1.1. slope of L1 = slope L2

5.2. Two lines are perpendicular if their slopes are opposite reciprocals

5.2.1. the product of their slopes is always equal to -1

7. EQUATION OF THE CIRLE

7.3. the distance formula is used to find the equation of the circle

7.3.1. thus the equation of the circle whose center is at (h, k) and with radius r is