Determine the distance between the following points and lines

[ttpp1124]

Homework Statement

Determine the distance between the following points and lines
I tried it; can someone confirm?

Relevant Equations

n/a

 

[LCKurtz]

Have you drawn a graph? 13.6 looks quite a bit too big. I get about 6.8 with a different method.
Edit: See below.

 

[archaic]

Have a look at this graph:

I have got what LCKurtz have found, exactly $\frac{37}{\sqrt{29}}$.

 

[LCKurtz]

Your graph is incorrect. The y intercept should be positive and the x intercept negative. And my answer (posting when tired) in post #1 (and yours) is incorrect . The correct answer should be $\frac {21}{\sqrt{29}}$.

 

[archaic]

Your graph is incorrect. The y intercept should be positive and the x intercept negative. And my answer (posting when tired) in post #1 (and yours) is incorrect . The correct answer should be $\frac {21}{\sqrt{29}}$.

Ugh, a sign mistake.