Question

Line f has a slope of -9/2. line g is perpendicular to f what is the slope of line g​

Answer 1

Answer:

The slope of line g is $\frac{2}{9}$.  

Step-by-step explanation:

We know that line f has a slope of $-\frac{9}{2}$ and that line g and line f are perpendicular to each other. Perpendicular lines have slopes that are opposite reciprocals of each other. Thus, the opposite reciprocal of  $-\frac{9}{2}$ must be the slope of line g.  

To find the opposite reciprocal of a number, change its sign and swap the numbers of the numerator and the denominator. So, the opposite reciprocal of $-\frac{9}{2}$ must be $\frac{2}{9}$. $\frac{2}{9}$ has to be the slope of line g as well.