Unit Two- Analytic Geometry

Unit Two Key Concepts - you can use the distance formula to find the length of a line segment  (d=√[(x1-x2)²+(y1-y2)²) -the midpoint of a line segment can be found by adding half of the run and half of the rise to the coordinates of the first endpoint - each coordinate of the midpoint of a line segment is the mean of the corresponding coordinates of the end points - the equation to find midpoint is HOW TO FIND EQUATION FOR MEDIAN OF A TRIANGLE 1: Find coordinates for midpoint of the side opposite to the vertex. 2; Use the coordinates of the midpoint and the vertex to calculate the slope of the median. 3: Substitute the slope and the coordinates of either point into y=mx +b to solve for the median’s y-intercept. HOW TO FIND EQUATION FOR RIGHT BISECTOR OF LINE SEGMENT 1: Find slope and midpoint of segment. 2: Use the slope to calculate the slope of a perpendicular line. 3: Substitute this slope and the coordinates of the midpoint into y=mx+b to solve for the right bisector’s y-intercept. - Formula for equation of a circle centred at the origin is x2+y2=r2

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