A horizontal line is characterized by having the same y-coordinate for all points along the line. In other words, the y-value remains constant regardless of the x-value.
In this case, the point given is (3, 8). The y-coordinate is 8. Since the horizontal line must pass through this point, it will have the equation of:
y = 8
This means that no matter what value of x you choose, the corresponding y-value will always be 8. Therefore, the horizontal line intersects the y-axis at (0, 8) and extends infinitely in both directions along the x-axis, maintaining that constant y-value of 8.
To summarize, the equation of the horizontal line passing through the point (3, 8) is:
y = 8