Question

What is the equation of the line parellel to line L that passes through point (3, 3)?
Coordinates of line L are (-1, 3) (2, -3)

Answer 1

The slope of line L is

$= \frac{ - 3 - 3}{2 - - 1} = \frac{ - 6}{3} = - 2$
Since the line is parallel to L , it also has the same gradient,

The equation is

$y = - 2(x - 3) + 3$
$y = - 2x + 6 + 3$
$y = - 2x + 9$