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[tex]P(-2,2)[/tex] [tex]L:2x+y=4[/tex]

I get the points for L by making x=0 and y=0, and I end up with:

[tex]P(-2,2)[/tex] [tex]L(2,4)[/tex]

Then I use the distance formula:

[tex]\sqrt{(2+2)^2+(4-2)^2}[/tex] which ultimately becomes [tex]\sqrt{20}[/tex], and finally [tex]2\sqrt{5}[/tex]

Unfortunately for me, my book reads: [tex]6\sqrt{5}[/tex]