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Explain why the equation of a vertical line cannot be written in point-slope form.

User TangledUpInBlue
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1 Answer

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The equation of a vertical line is of the form:


x=k

A vertical line has an infinite slope. The slope-intercept form of a line equation is:


y=mx+b

where "m" is the slope and "b" is the y-intercept. The equation of a vertical line has an undefined slope because the denominator of the slope, i. e, the change in the "x" variable is zero. Therefore, it cannot be written as a slope-intercept form.

User CppChris
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