COORDINATE GEOMETRY

1. WRITING THE EQUATIONS OF THE LINE

1.1. linear equations can be written in 3 forms

1.1.1. Standard Form : Ax + By = C

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

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

2. GRAPHING LINEAR EQUATIONS

2.1. we can graph linear equations using

2.1.1. x - and y intercepts

2.1.2. a point and slope of the line

2.1.3. two points of the line

3. PARALLEL AND PERPENDICULAR LINES

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

3.1.1. slope of L1 = slope L2

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

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

4. THE DISTANCE FORMULA

4.1. it is used to find the distance between two points on the coordinate plane

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

5. MIDPOINT FORMULA

5.1. the midpoint of a segment is a point that divides the segment into two congruent segments

5.2. to find the midpoint of a line, simply find the x and y coordinates of the midpoint

6. THE SHORTEST DISTANCE BETWEEN A POINT AND A LINE

6.1. the shortest distance is the one drawn perpendicular to the line.