SOLUTION: Write in standard form an equation of the line passing through the given point with the given slope. Slope=1/6;(-1,5) Please and thank you.

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Question 1039072: Write in standard form an equation of the line passing through the given point with the given slope.
Slope=1/6;(-1,5)
Please and thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29 Point slope form


y+-+5+=+%281%2F6%29%28x+-+%28-1%29%29 Plug in the given slope and point


y+-+5+=+%281%2F6%29%28x+%2B1%29 Simplify


6%2A%28y+-+5%29+=+6%2A%281%2F6%29%28x+%2B1%29 Multiply both sides by 6


6%2A%28y+-+5%29+=+1%2A%28x+%2B1%29 Multiply 6 and 1/6 to get 1.


6y+-+30+=+x%2B1 Distribute


6y+-+30%2B30+=+x%2B1%2B30 Add 30 to both sides


6y+=+x%2B31 Simplify


6y-x+=+x%2B31-x Subtract x fromboth sides


-x%2B6y+=+31 Simplify


-1%2A%28-x%2B6y%29+=+-1%2A31 Multiply both sides by -1 (to make the x coefficient positive)


x-6y+=+-31 Distribute and simplify


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The final answer is x-6y+=+-31