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anonymous

  • one year ago

all lines whose slopes and x intecept equal Ans. y=y'x-y'^2

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  1. anonymous
    • one year ago
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    help

  2. amoodarya
    • one year ago
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    what you have tried ?

  3. anonymous
    • one year ago
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    \[y=mx+b\]

  4. anonymous
    • one year ago
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    y=bx+b y'=b

  5. anonymous
    • one year ago
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    subst. y=y'x+y' factor out

  6. anonymous
    • one year ago
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    y=y'(x+1)

  7. anonymous
    • one year ago
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    what is the next step ? @amoodarya

  8. ganeshie8
    • one year ago
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    Looks you're wrongly assuming \(b\) is the x intercept

  9. ganeshie8
    • one year ago
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    For a straight line, \(y = mx + b\), the x intercept can be worked by plugging in \(y=0\) : \[0 = mx+b \implies x = -\frac{b}{m}\]

  10. ganeshie8
    • one year ago
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    therefore \(-\frac{b}{m}\) is the x intercept, not \(b\)

  11. ganeshie8
    • one year ago
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    Since you want that equal to the slope, \(-\frac{b}{m}=m \implies b=-m^2\) and the equation of line becomes : \[y = mx-m^2\] plugin \(m=y'\) and you're done!

  12. anonymous
    • one year ago
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    @ganeshie8 thank you , i did it :)

  13. anonymous
    • one year ago
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    @ganeshie8 same answer :)

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