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Question 87424: Find the equation of the line passing through the two points.
(8, -2) and (5, -7).
Answer by Flake(45)   (Show Source):
You can put this solution on YOUR website! ---Step#1: Know equation for a line
General Equation for the line is Y=mX+b; where m is the slope and b is the y-intercept.
---Step#2: Solve for "m" the slope
Moving from left to right, (5, -7) comes before (8,-2)
Slope is define as "Rise over the Run" or Rise/Run
---Solving Rise: Moving from left to right, you moved up from -7 to -2, that's positive 5
---Solving for Run: Moving from left to right, you moved from 5 to 8, thats's positive 3.
So, Slope = m = Rise/Run is 5/3
---Step#3: Solving for "b"
You equation now is Y=(5/3)X+b
Substitude (5,-7) in to your equation
Y=(5/3)X+b
becomes -7 = (5/3)(5)+b
becomes b=-7-(25/3) = -46/3
Now your equation should become Y=(5/3)X-(46/3)
---Check with (8, -2)
-2 = (5/3)(8)-(46/3) -----------yes.
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