SOLUTION: I have a problem where I have to write an equation in function notation using this slope -5/8 (3,2) I know I need to use the y-y=m(x-x) and I get F(x)=-5/8x +17/8, but teh book ha

Algebra ->  Rational-functions -> SOLUTION: I have a problem where I have to write an equation in function notation using this slope -5/8 (3,2) I know I need to use the y-y=m(x-x) and I get F(x)=-5/8x +17/8, but teh book ha      Log On


   

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: I have a problem where I have to write an equation in function notation using this slope -5/8 (3,2)
I know I need to use the y-y=m(x-x) and I get F(x)=-5/8x +17/8, but teh book has -5/8x+31/8. Where is teh 31 coming from? This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Sometimes I do it this way:
y+=+mx+%2B+b
m+=+-%285%2F8%29
The point (3,2) is given, so
2+=+-%285%2F8%29%2A3+%2B+b
2%2A8+=+-15+%2B+8b
8b+=+16+%2B+15
b+=+31%2F8
So the equation is:
F%28x%29+=+-%285%2F8%29%2Ax+%2B+31%2F8
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The other way is:
y+-+y%5B1%5D+=+m%2A%28x+-+x%5B1%5D%29
y+-+2+=+-5%2F8%2A%28x+-+3%29
y+=+-%285%2F8%29%2Ax+%2B+15%2F8+%2B+2
y+=+-%285%2F8%29%2Ax+%2B+15%2F8+%2B+16%2F8
y+=+-%285%2F8%29%2Ax+%2B+31%2F8
And, of course, y+=+F%28x%29