SOLUTION: Equation of a line in slope intercept form? 2x+4y=8

Algebra ->  Linear-equations -> SOLUTION: Equation of a line in slope intercept form? 2x+4y=8      Log On


   

Question 481936: Equation of a line in slope intercept form? 2x+4y=8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%2B4y=8 Start with the given equation.


4y=8-2x Subtract 2x from both sides.


4y=-2x%2B8 Rearrange the terms.


y=%28-2x%2B8%29%2F%284%29 Divide both sides by 4 to isolate y.


y=%28%28-2%29%2F%284%29%29x%2B%288%29%2F%284%29 Break up the fraction.


y=-%281%2F2%29x%2B2 Reduce.


So the equation y=-%281%2F2%29x%2B2 is now in slope intercept form y=mx%2Bb where the slope is m=-1%2F2 and the y-intercept is b=2 note: the y-intercept is the point