What is the equation of a horizontal line passing through the point (-3, 8)?

Solution:

Given, the point is (-3, 8)

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 (-3, 8)

y = 8

Therefore, the equation of a horizontal line is y = 8.

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.

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What is the equation of a horizontal line passing through the point (-3, 8)?

Summary:

The equation of a horizontal line passing through the point (-3, 8) is y = 8.