Question 1064758
You can form a right triangle with the spacing between lines and the distance between the intercepts. 
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*[illustration ASC1.png].
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You can form another triangle with the line and the y axis using the slope of the line. The angles shown then have a relationship.
{{{tan(A)=12/5}}}
{{{A+B=90}}}
{{{cos(90-B)=3/Y}}}
{{{cos(A)=3/Y}}}
So then,
{{{Y=3/cos(A)}}}
and
{{{cos(A)=5/sqrt(5^2+12^2)=5/13}}}
Then,
{{{Y=3/(5/13)}}}
{{{highlight(Y=39/5)}}}