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Find the slope of perpendicular lines

Perpendicular lines have slopes that are opposite reciprocals, like $\frac{a}{b}$ and $-\frac{b}{a}$. The slopes also have a product of -1.

Line t has a slope of $-\frac{5}{6}$ . Line u is parallel to line t. What is the slope of line u?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Line u is perpendicular to line t, so its slope is the opposite reciprocal. Find the opposite reciprocal.

 $-\frac{5}{6}$ Take the slope of line t $-\frac{6}{5}$ Find the reciprocal $\frac{6}{5}$ Find the opposite

 The slope of line u is $\frac{6}{5}$ .

Line j has a slope of $\frac{-2}{5}$. Line w is perpendicular to line j. What is the slope of line w?
Simplify your answer and write it as a proper fraction or as a whole or mixed number.

 Solution: