i need the help for math

Question

Question 3
Consider the line
.
What is the slope of a line perpendicular to this line?

What is the slope of a line parallel to this line?

 

Answer 1

Parallel lines have the SAME slope.

 

Perpendicular lines have slopes that are NEGATIVE RECIPROCALS. [That is , FLIP OVER the Fraction AND CHANGE the Sign]

 

For example, suppose the given line has slope 3.

 

Then the parallel line ALSO has a slope of 3.

 

The perpendicular line has slope -1/3

 

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Another example:

 

 suppose the given line has slope 2/5

 

The line parallel to that has slope 2/5

 

The line perpendicular to that has slope -5/2