Lineghasaslopeof

Question

7
3
. Line
hisperpendicularto
g . What
istheslopeofline
h ?

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

Answer 1

To find the slope of line \( h \), which is perpendicular to line \( g \), we first need to use the property that the slopes of two perpendicular lines are negative reciprocals of each other.

The slope of line \( g \) is given as \( \frac{7}{3} \).

To find the negative reciprocal, we follow these steps:

1. Take the reciprocal of \( \frac{7}{3} \), which is \( \frac{3}{7} \).
2. Then, change the sign to make it negative, which gives us \( -\frac{3}{7} \).

Thus, the slope of line \( h \) is

\[ \boxed{-\frac{3}{7}}. \]