Write the equation of a horizontal line that goes through the point (3, -4).
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
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Identify the y-coordinate of the point
The given point is (3, -4). The y-coordinate is -4. -
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. -
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.
Tips
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