Multiple choice

Equation of the line normal to function f (x) = (x − 8)2/3 + 1 at P (0, 5) is

  1. y = 3x − 5

  2. y = 3x + 5

  3. 3y = x + 15

  4. 3y = x − 15

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\hspace{3cm}m_1m_2=-1\\ \hspace{3.3cm}m_2=-\frac{1}{m_1}=\frac{-1}{-1/3}=3 \\ \text{The equation of line, from equation (i) is} \\ \hspace{3cm}(y-5)=3(x-0)\\ \hspace{4cm}y=3x+5$