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Line x is perpendicular to line y is perpendicular to line z. If the slope of line is 4. What is the slope of line z

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Answer:

See below.

Explanation:

Assuming "Line x is perpendicular to line y is perpendicular to line z." means:

  • x is perpendicular to y
  • y is perpendicular to z

If the slope of one line is 4 then the perpendicular line has a slope -1/4. Perpendicular lines have negative reciprocal slopes which multiply to -1.

So 4 * -1/4 = -1.

If the slope of x is 4 then the slope of y is -1/4.

If the slope of y is -1/4 then the slope of z is 4.

User Grant Hutchins
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