Question

What is the an equation of the line that goes through (−1, −3) and is perpendicular to the line `2x + 7y + 5 = 0`?

Answer 1

`2y = 7x + 1`

Explanation:

`r: y = ax + b` is perpendicular to `y = (-5 - 2x) / 7`

`-1/a = -2/7`

`a = 7/2`

`(-1, -3) in r Rightarrow -3 = 7/2 * (-1) + b`

`b = -3 + 7/2 = 1/2`

`r : y = 7/2 x + 1/2`