Unit 6 - created from Mind Map

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Connecting Algebra & Geometry through Coordinate Plane

Order Pair (x,y)

Distance

Distance Formula

Phythagorean Theorem

length, how far

Midpoint

Midpoint Formula [(x1+x2)/2, (y1+y2)/2]

Midpoint and endpoint are colinear. Slope endpoint A to midpoint and midpoint to endpoint B is the same

Slope

parallel lines

Perpendicular lines

Slope of two line are the same

y1=m1x+b1, y2=m2x+b2 m1=m2

Horizontal lines, y = # are parallel

Vertical lines, x= # are parallel

The product of the slope of two lines is -1. the slope of two lines are opposite reciprical.

A vertical line and a vertical line are perpendicular, x=# and y=#

y1=m1x+b1, y2=m2+b2, m1xm2 =-1

Unit 6