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Determine the equation of each line below using the given point and slope. Use variables \( x \) and \( y \). Simplify your answers. A) Point: \( (4,6) \), Slope: Undefined Equation of the line: B) Point: \( (7,-7) \), Slope: \( m=0 \) Equation of the line: Submit Question

Ask by Bryant Barber. in the United States
Mar 06,2025

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A) \( x = 4 \) B) \( y = -7 \)

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Beyond the Answer

The equation of a line with an undefined slope is vertical, meaning it goes straight up and down. For the point \( (4,6) \), the equation is simply \( x = 4 \). This means no matter what value \( y \) takes, \( x \) will always be 4! For a line with a slope of zero, it is horizontal, suggesting that it stays flat as \( x \) changes. With the point \( (7,-7) \) and a slope of \( m=0 \), the equation is \( y = -7 \). Hence, regardless of the value of \( x \), \( y \) will always stay at -7!

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