Given:
The slope of a line is 
.
To find:
The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.
Solution:
We know that the slopes of parallel lines are equal.
The slope of line Q and the slope of given line are same, i.e., . So, the line Q is parallel to the given line.
The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.
The slope of a line is . It means the slope of the perpendicular line must be 
. So, the line N is perpendicular to the given line.
The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.
Therefore, the lines M and P are neither parallel nor perpendicular.
Answer: Mr Brust snored a total of 19,840 times last summer
Step-by-step explanation:
Mr Brust snores in the ratio of 1 nap : 320 snores or 1 nap = 320 snores
Given that he took a nap everyday, last summer We have that .
For the month of July,
he had 31 naps( 31 days are in July)
Number of snores he made =31 x 320=9,920 snores
For the month of August
he also took 31 naps ( 31 days are in AugusT)
Number of snores he made = 31 x 320=9,920 snores
Therefore Mr Brust snored a total of 9,920+ 9,920 =19,840 times
Luke = x
Jordan = 2x
Erin = 2x - 5
x + 2x + 2x -5 = 59
5x = 65
x = 13
