SOLUTION: Find the slope for 5x+6y=18

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Question 94407: Find the slope for 5x+6y=18
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
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Question:

Find the slope for 5x+6y=18

Answer:
The standards slope-intercept form of a line is given by,
y = mx + b, where m is the slope and b is the y-intercept.

Now rewrite the given equation in to the standard form...

5x + 6y = 18

subtract 5x from both sides...

5x + 6y - 5x = 18 - 5x

==> 6y = 18 - 5x


Divide both sides by 6

==> +6y%2F6+=+18%2F6+-+5x%2F6+


==> ++y+=+3+-+%285%2F6%29%2Ax+, which is of standard form


Comparing this equation with the standard one, we have..

m = -5%2F6

That is slope = -5%2F6 and y-intercept = 3


Hope you found the explanation useful.

Regards.

Praseena.