SOLUTION: Write an equation in point-slope form for the line through the given points or through the given point with the given slope. (5,7), (6,8).

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Write an equation in point-slope form for the line through the given points or through the given point with the given slope. (5,7), (6,8).      Log On


   

Question 262748: Write an equation in point-slope form for the line through the given points or through the given point with the given slope. (5,7), (6,8).
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Our first step is to find the slope using the two points. WE use
m+=+%28y2-y1%29%2F%28x2-x1%29
plugging in our coordinates, we get
m+=+%288-7%29%2F%286-5%29
this gives us a slope of
m = 1.
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step 2 - find b using y = mx + b
we start with
y+v=+mx+%2B+b
and then plug in a point and our slope information to get
8+=+1%2A6+%2B+b
So,
b+=+2
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step 3 - write the equation as
y+=+1x+%2B+2