# What is the slope of a line that is perpendicular to a slope of -1/6?

Slope of perpendicular line $= 6$
If two straight lines have slopes ${m}_{1}$ and ${m}_{2}$ respectively, then the lines are perpendicular to eachother if ${m}_{2} = - \frac{1}{m} _ 1$
In this example: ${m}_{1} = - \frac{1}{6}$
Hence ${m}_{2} = - \frac{1}{- \frac{1}{6}} = 6$