What is the equation of the line that passes through the point (8, 6) and has a slope of 0?
Understand the Problem
The question is asking for the equation of a horizontal line that passes through a specific point (8, 6) and has a slope of 0. A slope of 0 indicates a horizontal line, so the equation will be of the form y = b, where b is the y-coordinate of the point.
Answer
The equation is \( y = 6 \).
Answer for screen readers
The equation of the line is ( y = 6 ).
Steps to Solve
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Identify the slope of the line The problem states that the line has a slope of 0. This means that the line is horizontal.
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Use the point to find the equation Since it passes through the point $(8, 6)$, the equation of the line can be written as: $$ y = b $$ where $b$ is the y-coordinate of the point.
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Substitute the y-coordinate Substituting the y-coordinate from the point into the equation gives: $$ y = 6 $$
The equation of the line is ( y = 6 ).
More Information
A horizontal line maintains the same y-value regardless of the x-value, which is why the equation is ( y = 6 ). This means any point on this line will have a y-coordinate of 6.
Tips
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