Answer:
The slope of line g is [tex]\frac{2}{9}[/tex].
Step-by-step explanation:
We know that line f has a slope of [tex]-\frac{9}{2}[/tex] 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 [tex]-\frac{9}{2}[/tex] 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 [tex]-\frac{9}{2}[/tex] must be [tex]\frac{2}{9}[/tex]. [tex]\frac{2}{9}[/tex] has to be the slope of line g as well.
