Answer:
The slope of line g is
.
Explanation:
We know that line f has a slope of
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
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
must be
.
has to be the slope of line g as well.