+0

0
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+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
+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:
$$\sqrt{(-2)^2+(4)^2}$$

$$\sqrt{4+16}$$

$$\sqrt{20 }$$

$$2\sqrt{5}$$
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Jun 11, 2019
#2
+248
+1

Thanks!

sinclairdragon428  Jun 11, 2019
#3
+39
+1

no problem, hope it helped!

Nirvana  Jun 11, 2019