Friday, June 27, 2014

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

Given (3, 2) `y=2x-1`


`y=2x-1`


`-2x+y+1=0`



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



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


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


`d=|(-2)(3)+(1)(2)+1|/sqrt((-2)^2+1^2)`


`d=|-6+2+1|/sqrt(4+1)=3/sqrt5=1.3`



The distance between the point and the line is 1.3 units.

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