Unit 6

Unit 6

1. Connecting Algebra & Geometry through Coordinate Plane

2. Order Pair (x,y)

3. Distance

   • Distance Formula
     • length, how far
   • Phythagorean Theorem

4. 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

5. Slope

   • parallel 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
   • Perpendicular lines
     • 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