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Question 211932: Solve for Y. Write the equation in the form y=mx+b. identify m and b.
5x-y=7
Answer by tsuffern(3)   (Show Source):
You can put this solution on YOUR website! First step is to solve for Y, or isolate Y on one side of the = sign.
Important rule to remember, anything you do to one side of the = you must do to the other when isolating a variable
5x-y=7 5x is a positive number, in order to move it from the left of the = and place it on the right, you must subtract it from both sides like this:
5x-5x-y=7-5x now siplify. 5x-5x is zero so the equation now looks like this
-y=7-5x
rearrange your terms like this
-y=-5x+7
Now we must move the negative in front of Y. -y implies a negative one (-1) times y, in order to remove multiplication you must divide. In this case you will divide -y by -1 and you will divide -5x+7 by -1. When you divide by -1, it will change the signs for all. So -y becomes y, and -5x+7 becomes 5x-7. now your equation looks like this:
y=5x-7
We now have the equation in the form of y=mx+b
identify M: 5
identify b: -7
Whenever you have your equation in the form of y=mx+b, the coefficent (m) of x is your slope on a graph, and b is your y intercept. For this equation 5/1 (5 over 1) is your slope and -7 is your Y intercept. Hope this helps!
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