The y-intercept of a line is the point where the line crosses the y-axis. To find this point, we can set the value of x to 0 and solve for y in the given equation.
Starting with the equation:
4x + 2y = 12
We substitute x with 0:
4(0) + 2y = 12
This simplifies to:
2y = 12
Next, we divide both sides by 2:
y = 6
Thus, the y-intercept of the line is 6. In coordinate terms, this means the line crosses the y-axis at the point (0, 6).