Write the equation of a horizontal line that goes through the point (3, -4).

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Understand the Problem

The question is asking for the equation of a horizontal line that passes through the specific point (3, -4). The equation of a horizontal line can be derived from the y-coordinate of the given point.

Answer

The equation of the horizontal line is \( y = -4 \).
Answer for screen readers

The equation of the horizontal line is ( y = -4 ).

Steps to Solve

  1. Identify the y-coordinate of the point
    The given point is (3, -4). The y-coordinate is -4.

  2. Write the equation of the horizontal line
    The equation for a horizontal line that passes through a y-coordinate is written as:
    $$ y = k $$
    where ( k ) is the y-coordinate at which the line is located.

  3. Substitute the y-coordinate
    Since the y-coordinate we identified is -4, we substitute it into the equation:
    $$ y = -4 $$

The equation of the horizontal line is ( y = -4 ).

More Information

A horizontal line has a constant y-coordinate for all values of x. In this case, the line remains at ( y = -4 ) for every point along it.

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