Find the equation

[bangdream]

 

[Deleted member 4993]

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Can you tell us some of the mathematical properties of - a normal ( at a point ) to a curve?

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[bangdream]

 

[pka]

You need an \(\displaystyle x\). It should be \(\displaystyle y=\frac{-7}{8 }x+7\)

 

[lookagain]

You need an \(\displaystyle x\). It should be \(\displaystyle y=\frac{-7}{8 }x+7\)

Look again. \(\displaystyle \ \ \ \) When x = 8, y = 7.

point (8, 7) \(\displaystyle \ \ \ \ \ \)The needed slope is \(\displaystyle \ \) -7/8.

y = mx + b

7 = (-7/8)(8) + b

7 = -7 + b

14 = b

\(\displaystyle y \ = \ \dfrac{-7}{8}x \ + \ 14 \ \ \ \ \) is the equation of the normal to that curve

at the point where x = 8.