Distance and Midpoint Formulas for Points on the Coordinate Plane

The distance between two points is the same as the length of the hypotenuse of a right triangle with the two given points as endpoints, and the two sides of the right triangle parallel to the x-axis and y-axis, respectively. The length of the segment parallel to the x-axis is the difference between the x-coordinates of the two points. The length of the segment parallel to the y-axis is the difference between the y-coordinates of the two points. Use the Pythagorean Theorem a2+b2=c2 or c=√(a2+b2) to find the distance. The formula is: “distance”=√((x2-x1)2+(y2-y1)2). To find the Midpoint of two points (x1,y1) and (x2,y2), average the x-coordinates to get the x-coordinate of the midpoint, and average the y-coordinates to get the y-coordinate of the midpoint. The formula is “midpoint”=((x1+x2)/2,(y1+y2)/2).


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Last updated: 02/19/2018
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