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anonymous

  • 5 years ago

I need to write an equation for the line containing the given point and parallel to the given line then put it in y=mx+b form. (3,4); x+2y=7

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  1. myininaya
    • 5 years ago
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    ok so we have x+2y=7 write this is y=mx+b form

  2. myininaya
    • 5 years ago
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    subtract x on both sides: x-x+2y=-x+7 2y=-x+7 divide both sides by 2: y=-x/2+7/2 what is the slope here?

  3. anonymous
    • 5 years ago
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    1/2

  4. myininaya
    • 5 years ago
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    -1/2

  5. myininaya
    • 5 years ago
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    ok all parallel lines have the same slope

  6. myininaya
    • 5 years ago
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    so our equation parallel to the line x+2y=7 (or y=-x/2+7/2) is y=-x/2+b so we need to find the y-intercept (aka b)

  7. myininaya
    • 5 years ago
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    we know a point (3,4) on this line

  8. myininaya
    • 5 years ago
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    x is 3 y is 4 so we have 4=-3/2+b (now you solve for b)

  9. anonymous
    • 5 years ago
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    Now I'm lost

  10. anonymous
    • 5 years ago
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    I'm not sure of the math.. do I divide -3/2 by 4

  11. myininaya
    • 5 years ago
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    to get b by itself what do you add to both sides

  12. anonymous
    • 5 years ago
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    4

  13. myininaya
    • 5 years ago
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    no! we have 4=-3/2+b we want b by itself so we need to add 3/2 on both sides

  14. myininaya
    • 5 years ago
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    4+3/2=-3/2+3/2+b 4+3/2=0+b 4+3/2=b b=4+3/2 b=4*2/2+3/2 (common denominator) b=8/2+3/2 b=11/2 so y=-x/2+11/2

  15. anonymous
    • 5 years ago
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    Thanks

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