# What is the slope of the line perpendicular to  y=7/6x -3 ?

$- \frac{6}{7}$
The slope of a perpendicular line is going to be the negative reciprocal of the original line. To find the slope of the given line, simply look at the quantity being multiplied to the $x$ term. Thus, it is $\frac{7}{6}$.
Now, you need to find the negative reciprocal. First, find the reciprocal. The reciprocal of $\frac{7}{6}$ is $\frac{6}{7}$ (just flip the fraction. A number multiplied by its reciprocal should equal $1$).
Then, negate it. $\frac{6}{7}$ multiplied by $- 1$ is $- \frac{6}{7}$ And there you have it!