What is the equation of the line that passes through the point (8,−5) and has an undefined slope? Express the equation in simplest form.
A line with an undefined slope is vertical.
Since there is no y-intercept on such a line, the equation is simple:
x = 8 (taking the x-value of a point it passes through).
When a line is vertical, there is an infinite number of y values, but only one x value.
The equation for any vertical line is x="the x value of the given point"
In this case, the answer is x=8
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Answers & Comments
A line with an undefined slope is vertical.
Since there is no y-intercept on such a line, the equation is simple:
x = 8 (taking the x-value of a point it passes through).
A line with an undefined slope is vertical.
When a line is vertical, there is an infinite number of y values, but only one x value.
The equation for any vertical line is x="the x value of the given point"
In this case, the answer is x=8