Line p and q are perpendicular lines. The slope of line p is 1/5. Determine the slope of line q. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar. Do not put spaces in your answer.

Question

Mathematics

Zayden Francis

19 June, 12:56

Line p and q are perpendicular lines. The slope of line p is 1/5. Determine the slope of line q. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar. Do not put spaces in your answer.

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Answers (1)

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Jose Williams · Answer 1

-5/1. We know that the slope of a line (p) is perpendicular to that of line q, and so its slope will be the negative reciprocal. We can imagine this, as a line at 90 degrees to a line will have an opposite slope (positive/negative). By rotating it 90 degrees we also know that the run will become rise, and rise will become run, causing the reciprocal (keeping in mind that gradient is calculated by rise over run).