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What is the slope of a line that is perpendicular to the line represented by the equation x – y = 8?

1 Answer

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Answer:

-1

Explanation:

Given equation of line is:

x - y = 8

In order to find the slope of other line we have to convert the given equation in standard form

So,

-y = -x + 8

Multiplying the equation with -1

y = x - 8

The co-efficient of x is the slope of the line.

Here the co-efficient is 1 so the slop of line is 1.

We know that the producct of slopes of perpendicular lines is -1.

Let m2 be the slope of the other line then

1 * m2 = -1

m2 = -1

So the slope of line perpendicular to line x-y = 8 will be: -1 ..

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