Write the equation of the horizontal line that passes through the point (2, 4).

Solution:

Given, the point is (2, 4)

We have to find the equation of a horizontal line passing through the given point.

A horizontal line is a straight line that is parallel to the x-axis in the coordinate plane.

The slope of the horizontal line is zero.

The equation of the horizontal line passing through a point (a, b) is given by

y = b

At point (2, 4)

y = 4

Therefore, the equation of a horizontal line is y - 4 = 0.

Example:

What is the equation of a horizontal line passing through the point (1, -4)?

Solution:

Given, the point is (1, -4)

We have to find the equation of a horizontal line passing through the given point.

A horizontal line is a straight line that is parallel to the x-axis in the coordinate plane.

The slope of the horizontal line is zero.

The equation of the horizontal line passing through a point (a, b) is given by

y = b

At point (1, -4)

y = -4

Therefore, the equation of a horizontal line is y + 4 = 0.

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Write the equation of the horizontal line that passes through the point (2, 4).

Summary:

The equation of a horizontal line passing through the point (2, 4) is y - 4 = 0.