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Find an equation of the line that satisfies the given conditions. Through \( (5,-2) \); slope undefined \( \square \) Need Help? Read It Watch It

Ask by Chen Stanley. in the United States
Feb 03,2025

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The equation of the line is \( x = 5 \).

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The Deep Dive

When the slope of a line is undefined, it means the line is vertical. For a line to be vertical, it must have the same x-coordinate for all points on the line. Since the line passes through the point \( (5, -2) \), the equation of the line is simply \( x = 5 \). This means no matter what y-value you have, the x-value will always be 5! A vertical line like this one can often be confused with horizontal lines, which have a slope of zero. To remember the difference, visualize that vertical lines run straight up and down (like the sides of a door), while horizontal lines stretch left and right (like the horizon).

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