To find the equation of a horizontal line that passes through a specific point, we start by acknowledging the characteristics of horizontal lines. A horizontal line maintains a constant y-coordinate regardless of the x-coordinate. In this case, the point given is (2, 4), where the y-coordinate is 4.
The equation of a horizontal line can be expressed in the form:
y = b
where b is the constant y-coordinate of any point that lies on this line.
Since the horizontal line we want is through (2, 4), we can substitute the y-coordinate:
y = 4
This means that the line will pass through all points where the y-value is 4. For example, points like (1, 4), (2, 4), (3, 4), and so on will all lie on this line.
In summary, the equation of the horizontal line passing through the point (2, 4) is:
y = 4