Question

Which lines are perpendicular to the line y – 1 = One-third(x+2)

Answer 1

Answer:

$y-1=-3(x+2)$

Step-by-step explanation:

The equation of the given line:

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

This equation is in the form $y-y_{1}=m(x-x_{1})$.  Therefore, 1/3 is the slope.

To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope).  Therefore, the slope of the perpendicular line is -3.

The equation of the perpendicular line: $y-1=-3(x+2)$