Wednesday, November 19, 2014

`(2, 3), 3x + y = 1` Find the distance between the point and the line.

Given (2, 3)  `3x+y=1`


``


`3x+y=1`


`3x+y-1=0`



Let A=3, B=1, C=-1, x1=2, and y1=3.



Find the distance between a point and a line using the formula


`d=|Ax_1+By_1+C|/sqrt(A^2+B^2)`


`d=|(3)(2)+(1)(3)+(-1)|/sqrt(3^2+1^2)=|6+3-1|/sqrt(10)=8/sqrt10=2.5`



The distance between the point and the line is 2.5 units.

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