SOLUTION: how do you rewrite the equation in slope intercept form then determine the slope and y-intercept. 1)5x - 4 = 12 + 4y 2)3/4x + y + 10 = 10

Algebra ->  Graphs -> SOLUTION: how do you rewrite the equation in slope intercept form then determine the slope and y-intercept. 1)5x - 4 = 12 + 4y 2)3/4x + y + 10 = 10       Log On


   

Question 177256: how do you rewrite the equation in slope intercept form then determine the slope and y-intercept.
1)5x - 4 = 12 + 4y
2)3/4x + y + 10 = 10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started

# 1

5x+-+4+=+12+%2B+4y Start with the given equation.


5x+-+4+-+12+=+4y Subtract 12 from both sides.


5x+-+16+=+4y Combine like terms.


4y+=+5x+-+16 Rearrange the equation.


y+=+%285x+-+16%29%2F4 Divide both sides by 4 to isolate y.


y+=+%285x%29%2F4+-+16%2F4 Break up the fraction


y+=+%285%2F4%29x+-+4 Reduce



So the equation y+=+%285%2F4%29x+-+4 is now in slope intercept form y=mx%2Bb where the slope is m=5%2F4 and the y-intercept is b=-4 note: the y-intercept is the point