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What is the slope of a line that is perpendicular to the line y = 1?

2 Answers

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when u have an equation such as y = 1......this means that u have a horizontal line which has a slope of 0.

* now if u had an equation such as x = 1...this would be a vertical line with an undefined slope....just so u know.
answered
User Kayce Basques
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8.7k points
3 votes

Answer:

Undefined ( ∞ )

Explanation:

The given line is y=1

It is horizontal line on coordinate plane.

Because y=k means y become constant and x varies.

If we draw perpendicular to horizontal line then it would be vertical line.

The equation of vertical line, x=h

The slope of horizontal line is 0

The slope of vertical line is undefined.

Because vertical line makes angle with x-axis 90°

Slope = tan 90°

∵ tan 90° is undefined.

Hence, The slope of perpendicular line of y=1 is undefined.

answered
User Gderaco
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8.8k points

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