Write an equation for the line that passes through ​(−8​,14​) and whose slope is undefined. Give an answer in standard form.

Question

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Part 1
Write the equation in the standard form where all coefficients are expressed as relatively prime integers.

Answer 1

Since the slope of the line is undefined, it means that the line is a vertical line. A vertical line has the equation of the form x = a, where a is the x-coordinate of any point on the line.

In this case, the line passes through (-8,14), so the equation of the line is x = -8.

Rearranging the equation to standard form:

x + 0y = -8

The equation in standard form is 1x + 0y = -8.