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Verified Answer :

In y-intercept: \(x=0\). Hence:

\(3y+4\cdot0=15\iff 3y=15\iff \boxed{y=5}\)

The intersection is the point \(P(0,5)\Longrightarrow \boxed{\boxed{A}}\)

bcalle

To find the y intercept of an equation plug zero in for the x's and solve for y. Remember if it is a y intercept, the x value is zero.
3y + 4(0) = 15 
3y = 15
y = 5  (0,5)