SOLUTION: what is the slope and y intercept of 2x+2y-4=4x+2

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Question 228264: what is the slope and y intercept of 2x+2y-4=4x+2
Found 2 solutions by drj, JenniferTutors:
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
What is the slope and y intercept of 2x+2y-4=4x+2?

Step 1. The equation in slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).

Step 2. Put the given equation 2x+2y-4=4x+2 in slope-intercept form with the following steps.

2x%2B2y-4=4x%2B2+

Add 4-2x to both sides of the equation to get 2y by itself on the left side

2x%2B2y-4%2B4-2x=4x%2B2%2B4-2x+

2y=2x%2B6

Divide by 2 to both sides of the equation

2y%2F2=2x%2F2%2B6%2F2

y=x%2B3

Step 3. ANSWER: Comparing y=x%2B3 with y=mx%2Bb yields that the slope m=1 and the y-intercept is b=3.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J

Answer by JenniferTutors(83) About Me  (Show Source):
You can put this solution on YOUR website!
You want the problem to look like this to find slope any y intercept:
y=mx+b
(m=slope)(b=y-int)
2x%2B2y-4=4x%2B2
Now, you would move the 2x from the left side to the right side of the equation by subtracting.
2y-4=4x-2x%2B2
combine like terms on the right side of the equation by adding the x's together.
2y-4=2x%2B2
Next, you would do the same thing with the -4.
2y=2x%2B2%2B4
Then, combine like terms again
2y=2x%2B6
Now, get y by itself completely by dividing 2 on both sides of the equation
2y%2F2=2x%2F2-6%2F2
After you simplify
y=1x-3
Now, you can determine the slope and y intercept
slope(m)= 1
y intercept(b)=-3