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

To find the y-intercept of the line represented by the equation 3y + 4x = 15, we need to determine the value of y when x is equal to 0.

Here are the steps:

  1. Substitute x = 0 into the equation:
  2. 3y + 4(0) = 15
  3. This simplifies to:
  4. 3y = 15
  5. Now, divide both sides by 3:
  6. y = 5

Thus, the y-intercept of the graph is at the point (0, 5). In other words, the line crosses the y-axis at the value of 5.

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