SOLUTION: Please help. Find the slope and y intercept of - 2/3x + 4y = 8/3 That is suppose to be 2 over 3 with the negative sign in the middle and 8 over 3.

Algebra ->  Linear-equations -> SOLUTION: Please help. Find the slope and y intercept of - 2/3x + 4y = 8/3 That is suppose to be 2 over 3 with the negative sign in the middle and 8 over 3.      Log On


   

Question 189820: Please help. Find the slope and y intercept of
- 2/3x + 4y = 8/3
That is suppose to be 2 over 3 with the negative sign in the middle and 8 over 3.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-%282%2F3%29x%2B4y=8%2F3 Start with the given equation.


cross%283%29%28-%282%2Fcross%283%29%29x%29%2B3%284y%29=cross%283%29%288%2Fcross%283%29%29 Multiply EVERY term by the LCD 3 to clear the fractions


-2x%2B3%284y%29=8 Simplify


-2x%2B12y=8 Multiply


12y=8%2B2x Add 2x to both sides.


12y=2x%2B8 Rearrange the terms.


y=%282x%2B8%29%2F%2812%29 Divide both sides by 12 to isolate y.


y=%282%2F%2812%29%29x%2B%288%29%2F%2812%29 Break up the fraction.


y=%281%2F6%29x%2B2%2F3 Reduce.


So the equation y=%281%2F6%29x%2B2%2F3 is now in slope intercept form y=mx%2Bb where the slope is m=1%2F6 and the y-intercept is b=2%2F3

note: the y-intercept is the point