Question

Write an equation of the line perpendicular to

Answer 1

Answer:

From general equation of a line:

$y = mx + b$

m » slope, b » y-intercept.

but perpendicularly:

$m _{1} \times m _{2} = - 1 \\ - 3 \times m = - 1 \\ m = \frac{1}{3}$

at point (6, 2):

$2 = ( \frac{1}{3} \times 6) + b \\ 2 = 2 + b \\ b = 0$

therefore, equation is :

${ \boxed{ \boxed{y = \frac{1}{3} x}}}$