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Question 150897: what is the equation of a line with a slope of -2/3 and y- intercept of 17
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! If an equation has a y-intercept of 17, this means that the equation goes through the point (0,17)
If you want to find the equation of line with a given a slope of  which goes through the point (0,17), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
 where  is the slope, and ) is the given point
So lets use the Point-Slope Formula to find the equation of the line
 Plug in  ,  , and  (these values are given)
 Distribute
 Multiply and  to get 
 Add 17 to both sides to isolate y
 Combine like terms and  to get
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Answer:
So the equation of the line with a slope of which goes through the point (0,17) is:
which is now in  form where the slope is and the y-intercept is 
Notice if we graph the equation and plot the point (0,17), we get (note: if you need help with graphing, check out this solver)
 Graph of through the point (0,17)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (0,17), this verifies our answer.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! what is the equation of a line with a slope of -2/3 and y- intercept of 17
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Y = (-2/3)x + 17
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Cheers,
Stan H.
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