SOLUTION: Find the slope if it exists x+8y=16 I cannot seem to get linear equations there are just too many different things that can be done. I am completely frustrated

Algebra ->  Linear-equations -> SOLUTION: Find the slope if it exists x+8y=16 I cannot seem to get linear equations there are just too many different things that can be done. I am completely frustrated      Log On


   

Question 243527: Find the slope if it exists x+8y=16 I cannot seem to get linear equations there are just too many different things that can be done. I am completely frustrated
Found 2 solutions by jim_thompson5910, College Student:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B8y=16 Start with the given equation.


8y=16-x Subtract x from both sides.


8y=-x%2B16 Rearrange the terms.


y=%28-x%2B16%29%2F%288%29 Divide both sides by 8 to isolate y.


y=%28%28-1%29%2F%288%29%29x%2B%2816%29%2F%288%29 Break up the fraction.


y=-%281%2F8%29x%2B2 Reduce.


So the equation y=-%281%2F8%29x%2B2 is now in slope intercept form y=mx%2Bb where the slope is m=-1%2F8 and the y-intercept is b=2 note: the y-intercept is the point

Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
The Slope-Intercept Form of a Line is expressed this way: y=mx%2Bb, where m=slope.
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Our goal is to make the equation given to you look like the one I just presented to you. The y value must not have a coefficient. A missing coefficient is understood to be 1 (as any number multiplied by 1 equals to itself, we therefore don't write 1 as a coefficient. For example: 1y = y.
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Now, let's work the problem:
x%2B8y=16
8y=-x%2B16
y=-%281%2F8%29x%2B16%2F8
y=-%281%2F8%29x%2B2 <--- this is the slope-intercept form for this equation.
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Since m = slope, our slope here is -%281%2F8%29
Done!