SOLUTION: what is the slope to x+3y=13 and the slope to 2x-y=-9?

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Question 166680: what is the slope to x+3y=13 and the slope to 2x-y=-9?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1




x%2B3y=13 Start with the given equation.


3y=13-x Subtract x from both sides.


3y=-x%2B13 Rearrange the terms.


y=%28-x%2B13%29%2F%283%29 Divide both sides by 3 to isolate y.


y=%28%28-1%29%2F%283%29%29x%2B%2813%29%2F%283%29 Break up the fraction.


y=-%281%2F3%29x%2B13%2F3 Reduce.


So the equation y=-%281%2F3%29x%2B13%2F3 is now in slope intercept form y=mx%2Bb where the slope is m=-1%2F3 and the y-intercept is b=13%2F3 note: the y-intercept is the point


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Answer:


So the slope is m=-1%2F3





# 2


2x-y=-9 Start with the given equation.


-y=-9-2x Subtract 2x from both sides.


-y=-2x-9 Rearrange the terms.


y=%28-2x-9%29%2F%28-1%29 Divide both sides by -1 to isolate y.


y=%28%28-2%29%2F%28-1%29%29x%2B%28-9%29%2F%28-1%29 Break up the fraction.


y=2x%2B9 Reduce.


So the equation y=2x%2B9 is now in slope intercept form y=mx%2Bb where the slope is m=2 and the y-intercept is b=9 note: the y-intercept is the point



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Answer:


So the slope is m=2