Write the equation of a vertical line that goes through the point (-1, 5).
Understand the Problem
The question is asking for the equation of a vertical line that passes through the specified point (-1, 5). A vertical line has the form x = a, where 'a' is the x-coordinate of the point through which the line passes.
Answer
The equation of the vertical line is \( x = -1 \).
Answer for screen readers
The equation of the vertical line is ( x = -1 ).
Steps to Solve
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Identify the x-coordinate The x-coordinate of the given point (-1, 5) is -1.
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Write the equation of the vertical line For a vertical line, the equation takes the form ( x = a ), where ( a ) is the x-coordinate. Thus, using our x-coordinate, we write the equation as:
$$ x = -1 $$
The equation of the vertical line is ( x = -1 ).
More Information
A vertical line has the same x-coordinate for all points on the line. Hence, the equation ( x = -1 ) means that for any value of ( y ), the x-value will always be -1, representing a vertical line through (-1, 5).
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