What is the shortest distance from the point (6,0) to the line y=2x-2? Express your answer in simplest radical form.

Thanks!

sinclairdragon428 Jun 10, 2019

#1**+1 **

ok so first you need to find the line thats perpendicular to y=2x-2 and that is y=-1/2x+b

next solve for the y intercept, and i got 3 so now the equation would be y=-1/2x+3

now you need to find the point of intersection between the two points so you would use either subsitution or elimination or any other method you are comfortable with.

I used substitution:

2x-2=-0.5x+3

x=2

y=2

and then you would need to find the distance between the points (2,2) and (6.0) so you would use the distance formula:

\(\sqrt{(-2)^2+(4)^2}\)

\(\sqrt{4+16}\)

\(\sqrt{20 }\)

\(2\sqrt{5}\)

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Nirvana Jun 11, 2019