Question 134197: Find the equation of the line through (-1,-7) having a slope of -6.
Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
If you want to find the equation of line with a given a slope of  which goes through the point ( , ), 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)
 Rewrite  as 
 Rewrite  as 
 Distribute
 Multiply and  to get
 Subtract 7 from 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 (,) 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 (,), we get (note: if you need help with graphing, check out this solver)
 Graph of through the point (,)
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 (,), this verifies our answer.
Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website! Y=mX+b
-7=-6*-1+b
-7=6+b
b=-7-6
b=-13 THUS THE EQUATION IS:
Y=-6X-13
 (graph 300x200 pixels, x from -6 to 5, y from -15 to 10, -6x -13).
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