Section 3.8 – Analyzing Polygons Using Coordinates

 

Slope =

 

m = , where ( and  are points on a coordinate plane

 

slope-intercept form:                             y = mx + b  (where m = slope and b = y-intercept)

 

In a coordinate plane, two non-vertical lines are parallel if and only if they have the same slope.  Any two vertical lines are parallel.

 

In a coordinate plane, two non-vertical lines are perpendicular if and only if the product of their slopes is -1 (the slopes are negative reciprocals).  Any vertical line is perpendicular to any horizontal line.

 

 

Midpoint Formula: