Question

Answer the questions shown in the image below.

Answer 1

Answer:

Slope of given line = $\frac{-9}{4}$ and slope of perpendicular line = $\frac{4}{9}$

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 = $\frac{-a}{b}$ = $\frac{-9}{4}$

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 = $\frac{b}{a}$ = $\frac{4}{9}$