SOLUTION: how to find the slope and y intercept of the equation: 10 - 1/4y = 4x

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Question 325425: how to find the slope and y intercept of the equation:
10 - 1/4y = 4x

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
how to find the slope and y intercept of the equation:

Rule:  

The equation 

y%22%22=%22%22mx%22%22%2B%22%22b

has slope m and 

y-intercept the point %22%28b%2C0%29%22

Therefore to use that rule, your equation

10+-+%22%22%291%2F4y%22%22=%22%224x

must first be gotten into the form

y%22%22=%22%22mx%22%22%2B%22%22b 

Let's do that:

10+-+%22%22%291%2F4y%22%22=%22%224x

Clear of fractions by multiplying every term by red%284%2A%22%22%29

red%284%2A%22%22%2910+-+red%284%2A%22%22%29%291%2F4y%22%22=%22%22red%284%2A%22%22%294x

40%22%22-%22%22y%22%22=%22%2216x

Add -40 to both sides

-y%22%22=%22%2216x-40

Get rid of the negative sign in front of y by changing
the sign of every term on both sides:

y%22%22=%22%22-16x%2B40

Compare that to

y%22%22=%22%22mx%22%22%2B%22%22b

and we see that it

has slope m=-16 and 

y-intercept the point %22%280%2C40%29%22

Edwin