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(4,-4) and (19,-24)

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3 Answers

Using the x-y coordinate system we can calculate the x didtance between the points and the y distance also.  The actual distance between the points uses teh Pythagorean thearem.
 
x distance is 19-4 or 15
y distance is -4-(-24) or 20
 
sq rt of 15^2 + 20^2 is sq rt of 225 + 400 or sq rt of 625 which is 25
The distance is 25.
distance between two points:  √[(y2 - y1)2 + (x2 - x1)2]
(4, -4) and (19, -24)
 
√[(-24 - (-4))2 + (19 - 4)2]
 
√[(-20)2 + 152] ----> √625 = 25
 
so, distance is 25
distance between (4,-4) and (19,-24)
Use Pythagoras' Theorem
The vertical side of the triangle has length |-24-(-4)|=20
The horizontal side has length |19-4|=15
202+152=400+225=625=hypotenuse2
hypotenuse =25, the distance between the points