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

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Question 93696: what is the y intercept of 5x-4y=20
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
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Question:
what is the y intercept of 5x-4y=20
Answer:

The standard slope-intercept form of an equation is given by the formula,
y = mx + b, where m is the slope and b is the y-intercept.

here you have the equation, 5x - 4y = 20

First of all rewrite the given equation in to standard form

5x - 4y = 20

subtract 5x from both sides...

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


==> -4y = 20 - 5x


Divide both sides by -4

==> +-4y%2F-4=+20%2F-4+-+5x%2F-4+


==> +y+=+-5+%2B+%285%2F4%29+%2A+x+
Which again can be written as,


+y+=++++%285%2F4%29%2Ax+-5+, which is of standard form


Comparing this equation with the standards one, when have,

m = +5%2F4 and b = -5


So y-intercept = -5 and slope = 5%2F4

Hope you found the explanation useful.


Regards.

Praseena.