What is the difference between the points #(1, 3)# and #(5,6)#?

1 Answer
kevincmiles1921
Mar 24, 2018

5

Explanation:

The distance formula, which is derived from the Pythagorean theorem, can be used to find the distance between two points:

#D = sqrt((x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2})#

If we let #(1,3)# be Point 1 and #(5,6)# be Point 2, we can substitute the x and y-coordinates for each point into the distance formula:

#D = sqrt(((5)-(1))^{2} + ((6)-(3))^{2})#

Then simplify to solve for the distance (D):

#D = sqrt((4)^{2} + (3)^{2})#
#D = sqrt(16 + 9)#
#D = sqrt(25)#
#D = 5#

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