Question

What is an equation of the line that passes through the point (3,-1) and is perpendicular to the equation y=-3x+2

Answer 1

If it is perpendicular then the slope of it will be:

$-3 \times x = -1\\\\x = \frac{1}{3}$

y = 1/3 x + b

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

The equation is:

$y = \frac{1}{3}x - 2$