Question 369879:  Hi guys, it's me again. I need your help on this one.
 
Find an equation of the line passing through the pair of points. Write the equation in slope-intercept form.
 
(5, -3) and (1, -4) 
 Found 2 solutions by  Alan3354, rfer: Answer by Alan3354(69443)      (Show Source): 
You can  put this solution on YOUR website! Given 2 points example.  
Find the equation of the line thru the points (2,1) and (3,5) 
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This is a 2 step process.  First find the slope of the line thru the points. 
slope, m = diffy/diffx 
m = (5-1)/(3-2) 
m = 4 
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Now use y = mx + b with either point to find b, the y-intercept. 
y = mx + b 
5 = 4*3 + b 
b = -7 
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y = mx + b 
y = 4x - 7 is the answer. 
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Another approach using determinants: 
|x y 1| 
|2 1 1| = 0 
|3 5 1| 
-------- 
x(1-5) - y(2-3) + 1(10-3) = 0 
-4x + y + 7 = 0 
y = 4x - 7 
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For further assistance, or to check your work, email me via the thank you note  
 or at Moral Loophole@aol.com 
 
 Answer by rfer(16322)      (Show Source): 
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