Calculator Soup^{®}

Enter 2 sets of coordinates in the x y-plane of the 2 dimensional Cartesian coordinate system, (X_{1}, Y_{1}) and (X_{2}, Y_{2}), to get the distance formula calculation for the 2 points, calculate distance between the 2 points and graph the line connecting the points.

Accepts positive or negative integers and decimals. (6 and/or 6.5)

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X_{1}, Y_{1}) and (X_{2}, Y_{2}) is given by the Pythagorean theorem:

To calculate the distance between 2 points, (X_{1}, Y_{1}) and (X_{2}, Y_{2}), for example, (5, 6) and (-7,11), we plug our values into the distance formula:

combining terms inside parentheses we get:

\[ d = \sqrt {(-12)^2 + (5)^2} \]squaring both terms we get,

\[ d = \sqrt {144 + 25} \]adding the 2 results,

\[ d = \sqrt {169} \]finally,

\[ d = 13 \]**Cite this content, page or calculator as:**

Furey, Edward "2D Distance Calculator" From *http://www.CalculatorSoup.com* - Online Calculator Resource.