Answer:
Slope of given line = [tex]\frac{-9}{4}[/tex] and slope of perpendicular line = [tex]\frac{4}{9}[/tex]
Step-by-step explanation:
We are given a line -9x - 4y = 5 .
We have to find the slope of a line parallel to this line and also a line perpendicular to this line.
Let the general equation be ax + by = c.
Then the slope of this line = [tex]\frac{-a}{b}[/tex] = [tex]\frac{-9}{4}[/tex]
The slope of a line perpendicular to a line is the negative inverse of the slope of the line. Using this concept,
Slope of line perpendicular to the given line = [tex]\frac{b}{a}[/tex] = [tex]\frac{4}{9}[/tex]
