Question

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

Answer 1

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

Explanation:

The equation of the given line:

`y-1=(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)`