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Points. Distance and Midpoint. Coordinate Plane. y -axis. II I. When graphing points in the coordinate plane, remember it is ( x,y ). The quadrants are numbered with Roman numerals and go counter clockwise. x -axis. III IV. Distance.
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Points Distance and Midpoint
Coordinate Plane y-axis II I • When graphing points in the coordinate plane, remember it is (x,y). • The quadrants are numbered with Roman numerals and go counter clockwise. x-axis III IV
Distance • The distance formula is used to find the distance between two points. • The notation is only telling you to make sure to use the coordinates from the 2nd point, then the coordinates from the 1st point. • Find the distance between (2,5) and (6,8). • = 5 • Distance is always positive!!
Distance • You try a few! • (5,4) and (3,7) • (8,-2) and (-5,-9) • (15,-15) and (-1,0) • (-5,-5) and (0,0)
Midpoint • Midpoint is the point exactly in the middle of two points. (Just like it sounds!!) • It is the average of the x coordinates and the y coordinates. • The midpoint is always written as an ordered pair. • What is the midpoint between (2,5) and (6,1). • x = = • y = • The midpoint is at (4,3).
Midpoint • Your turn!! • (2,4) and (6,8) • (1,3) and (5,9) • (-4,-3) and (-8,-5) • (-5,-5) and (-7,-7) • (0,0) and (4,8)