Question

Answer the questions shown in the image below.

Answer 1

Slope of given line =
`(-9)/(4)` and slope of perpendicular line =
`(4)/(9)`

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 =
`(-a)/(b)` =
`(-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 =
`(b)/(a)` =
`(4)/(9)`