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| Question 102063:  Write the equation of the line passing through the given point with the indicated slope.
 Give your results in slope-intercept form.
 Point : (0,5)
 Slope: m=-3/5
 
 Found 2 solutions by  jim_thompson5910, MathLover1:
 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) 
 
 
  Distribute   
 
  Multiply  and  to get   
 
  Add 5 to  both sides to isolate y 
 
  Combine like terms  and  to get   ------------------------------------------------------------------------------------------------------------
 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 MathLover1(20850)
      (Show Source): 
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