Sunday, July 20, 2014

`(-1, -5), 6x + 3y = 3` Find the distance between the point and the line.

Given (-1, -5)  `6x+3y=3`


`6x+3y=3`


`6x+3y-3=0`


`2x+y-1=0`



A=2, B=1, C=-1, x1=-1, and y1=-5



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


`d=|Ax_1+By_2+C|/sqrt(A^2+B^2)`


`d=|(2)(-1)+(1)(-5)+(-1)|/sqrt(2^2+1^2)`


`d=|-2-5-1|/sqrt(5)=8/sqrt5=3.6`



The distance between the point and the line is 3.6 units.

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