SOLUTION: what is the equation of the line of m=6/7 (8,-7)

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Question 220750: what is the equation of the line of m=6/7 (8,-7)
Found 2 solutions by jojo14344, RAY100:
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Following the Slope-Intercept Form,system%28y=mx%2Bb%29, we can get the Y-intercept, red%28b%29 by substituting given:

y=mx%2Bb
-7=%286%2F7%29%288%29%2Bb
-7=%2848%2F7%29%2Bb ---> b=-7-%2848%2F7%29=%28-49-48%29%2F7
red%28b=-97%2F7%29, Y-intercept

It follows eqn, y=%286%2F7%29x-97%2F7, Multiply the whole eqn by "7":

7y=6x-97 ---> highlight%28-6x%2B7y=-97%29} Standard Form, (Answer)

Find X-intercept:
Fy=0:
-6x%2B7%280%29=-97 ---> cross%28-6%29x%2Fcross%28-6%29=-97%2F-6
red%28x=97%2F6%29, ==> (97/6,0) or (16.2,0)

Find Y-intercept:
Fx=0
-6%280%29%2B7y=-97 ---> cross%287%29y%2Fcross%287%29=-97%2F7
red%28y=-97%2F7%29, ==> (0,-97/7) or (0,-13.9)




Thank you,
Jojo

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
starting with the standard slope intercept form,,,y=mx+b
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if m= (6/7) ,,,and (8, -7),,,,,,,,,substituting
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(-7) = (6/7)(8) +b
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-7 -48/7= b
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-7 -6 6/7 =b
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b= -13 6/7
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reviewing the std eqn,,,y = 6/7 *x - 13 6/7,,,answer in slope intercept form
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multiplying by 7
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7y =6x - 97
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or,,,,-6x +7y = -97,,,,mult by -1
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6x -7y =97,,,,,answer in std form..
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checking,,( 8,-7),,,,,6(8) -7(-7) = 97,,,,,ok
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