Answer:
The distance formula is an algebraic expression used to determine the distance between two points with the coordinates (x1, y1) and (x2, y2).
D=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
D=(x2−x1)2+(y2−y1)2
Example
Find the distance between (-1, 1) and (3, 4).
This problem is solved simply by plugging our x- and y-values into the distance formula:
D=(3−(−1))2+(4−1)2−−−−−−−−−−−−−−−−−√=
D=(3−(−1))2+(4−1)2=
=16+9−−−−−√=25−−√=5
=16+9=25=5
Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.
If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:
(x1+x22,y1+y22)
(x1+x22,y1+y22)
Step-by-step explanation:
