SOLUTION: Consider the line -4x-5y=6. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?

Question 249801: Consider the line -4x-5y=6.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Found 2 solutions by richwmiller, mathhub:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
parallel slope will be the same.
perpendicular slope * original slope =-1
get the equation in the form y=mx+b

Answer by mathhub(11) (Show Source): You can put this solution on YOUR website!
-4x - 5y = 6
=> -5y = 4x + 6
=>
The above equation is in the form of
y = mx + c
Where m is the slope of the line.
On comparison we see that . Thus the slope of the given line is .
Now a line parallel to the given line will have the same slope i.e
The slope of a perpendicular line will be the negative reciprocal i.e
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