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

The y-intercept of a line is the point where the line intersects the y-axis. This occurs when the value of x is zero.

For the line represented by the equation y = x + 3, we can find the y-intercept by substituting 0 for x:

y = 0 + 3

Upon solving this, we get:

y = 3

Thus, when x equals 0, y equals 3. Therefore, the y-intercept of this line is the point (0, 3).

In summary, the y-intercept provides important information about the line’s position relative to the y-axis, and in this case, the line crosses the y-axis at the coordinate point (0, 3).