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?

Algebra ->  Linear-equations -> 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?      Log On


   

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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
-4x - 5y = 6
=> -5y = 4x + 6
=> y+=+-4x%2F5+-+6%2F5
The above equation is in the form of
y = mx + c
Where m is the slope of the line.
On comparison we see that m+=+-4%2F5. Thus the slope of the given line is -4%2F5.
Now a line parallel to the given line will have the same slope i.e -4%2F5
The slope of a perpendicular line will be the negative reciprocal i.e 5%2F4