SOLUTION: find the value of r so that the line that passes through each pair of points has the given slope. (6,r), (3,3), m=2

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Question 908084: find the value of r so that the line that passes through each pair of points has the given slope. (6,r), (3,3), m=2

Found 3 solutions by MathLover1, MathTherapy, josgarithmetic:
Answer by MathLover1(20854) About Me  (Show Source):
You can put this solution on YOUR website!
given:
(6,r), =>r=y
(3,3),
m=2)
y=mx%2Bb...m=2)
y=2x%2Bb
use (3,3) to find b

3=2%2A3%2Bb
3=6%2Bb
3-6=b
-3=b
y=2x-3
use (6,r), to find r
y=2%2A6-3 since r=y we have
r=12-3
r=9




Answer by MathTherapy(10719) About Me  (Show Source):
You can put this solution on YOUR website!
find the value of r so that the line that passes through each pair of points has the given slope. (6,r), (3,3), m=2

This can be done the way the other person did it, but the slope formula (m) can be used too, as follows:
     m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29, when 

    2+=+%283+-+r%29%2F%283+-+6%29 ---- Substituting 
    2+=+%283+-+r%29%2F%28-+3%29
3 - r = - 6 ------ Cross-multiplying
  - r = - 6 - 3
  - r = - 9
   highlight%28r%29+=+%28-+9%29%2F%28-+1%29+=+highlight%289%29%29

Answer by josgarithmetic(39736) About Me  (Show Source):