SOLUTION: what is the slope and y intercept of 5x-4y=20

Algebra ->  Linear-equations -> SOLUTION: what is the slope and y intercept of 5x-4y=20      Log On


   

Question 93697: what is the slope and y intercept of 5x-4y=20
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:

what is the slope and y intercept of 5x-4y=20

Answer:
First of all rewrite the given equation into the standard slope intercept form of a line, that is y = mx + b, where m is the slope and b is the slope of the equation.

5x - 4y = 20
Subtract 5x from both sides.

==> 5x - 4y - 5x = 20 - 5x


==> -4y = 20 - 5x


Divide both sides by -4


==> -4y%2F-4+=+%2820%2F-4%29++-%285x%2F-4%29


==> y+=+-5+%2B+%285x%2F4%29


Which can be written as, y+=+%285%2F4%29%2Ax+-5++, which is of standard form


So, slope of the given equation is, 5%2F4 and y intercept is -5


Hope you found the explanation useful.


Regards.


Praseena.