what does the y-intercept (0,3) mean in context

In the context of the graph of a linear equation, the y-intercept (0,3) means that the line crosses the y-axis at the point (0,3).

This implies that when the x-coordinate of any point on the line is 0, the y-coordinate will be 3. In other words, when no independent variable (x) is present or has a value of 0, the dependent variable (y) will always have a value of 3.

For example, if the equation represents the relationship between time and distance traveled, the y-intercept of (0,3) would indicate that when no time has elapsed (t = 0), the distance traveled is already 3 units.