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