Question

HELP I ONLY HAVE. 10 minutes left !!!!!!Consider the line -5x-3y=-6.

What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer the following questions
1.Slope of a perpendicular line:?
2.Slope of a parallel line:?

Answer 1

(1)
`(3)/(5)` , (2) -
`(5)/(3)`

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

- 5x - 3y = - 6 ( add 5x to both sides )

- 3y = 5x - 6 ( divide through by - 3 )

y = -
`(5)/(3)` x + 2 ← in slope- intercept form

with slope m = -
`(5)/(3)`

1

given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-(5)/(3) )` =
`(3)/(5)`

2

Parallel lines have equal slopes , then

slope of parallel line = -
`(5)/(3)`