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Give the slope of a line perpendicular to the given line. $$ y=x-3 $$

Short Answer

Expert verified
The slope of the line perpendicular to y=x-3 is -1.

Step by step solution

01

Identifying the Slope of the Given Line

From the form of the equation, y=mx+c, we can determine that the slope (m) of the given line is 1.
02

Determining the Slope of the Perpendicular Line

The slope (m') of a line perpendicular to the given line is the negative reciprocal of the slope of the given line. Therefore, \( m' = -1/m = -1/1 = -1 \).

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