Question

To write the equation of a line parallel to a given line through a given point:
1.Find the slope of the given line.
2.Use that slope and the point on the new line to write the equation of the new line.

y − y1 = m(x − x1)


To write the equation of a line perpendicular to a given line through a given point:
1.Find the slope of the given line.
2.Use the opposite reciprocal of that slope and the point on the new line to write the equation of the new line.

y − y1 = m(x − x1)