We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
58
3
avatar+248 

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

Thanks!

 Jun 10, 2019
 #1
avatar+39 
+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:
\(\sqrt{(-2)^2+(4)^2}\)

\(\sqrt{4+16}\)

\(\sqrt{20 }\)

\(2\sqrt{5}\)
❀◕ ‿ ◕❀ ❀◕ ‿ ◕❀ ❀◕ ‿ ◕❀

 Jun 11, 2019
 #2
avatar+248 
+1

Thanks!

sinclairdragon428  Jun 11, 2019
 #3
avatar+39 
+1

no problem, hope it helped!smiley

Nirvana  Jun 11, 2019

11 Online Users

avatar