What is the y-intercept of the graph of the line represented by the equation 3y + 4x = 15?

To find the y-intercept of the line given by the equation 3y + 4x = 15, we need to determine the value of y when x is equal to 0. The y-intercept is the point where the line crosses the y-axis, which occurs when the value of x is zero.

Let’s solve for y:

3y + 4(0) = 15  
3y + 0 = 15  
3y = 15  
y = 15 / 3  
y = 5

Thus, the y-intercept of the line is (0, 5). This means that when the line crosses the y-axis, the value of y is 5.

In summary, the y-intercept for the equation 3y + 4x = 15 is at the point (0, 5).