Find y-intercept of $5x+3y=15$.

The correct answer is 5.

To find the y-intercept of the given linear equation, we need to understand what the y-intercept represents geometrically and algebraically.

The y-intercept of a line is the point where the line crosses the y-axis. At any point on the y-axis, the x-coordinate is equal to 0 (i.e., $x=0$).

The given linear equation is:

$5x+3y=15$

To find the y-intercept, substitute $x=0$ into the equation:

$5\left(0\right)+3y=15$

Simplify the term with x:

$0+3y=15$
$3y=15$

Now, solve for y by dividing both sides of the equation by 3:

$y=\frac{15}{3}$

$y=5$

Therefore, the y-intercept of the equation $5x+3y=15$ is 5.