Coordinate geometry: L(-1,0),M(3,7),N(5,-2) are the midpoints of the sides BC,CA,AB

[Kitimbo]

L(-1,0),M(3,7),N(5,-2) are the midpoints of the sides BC,CA,AB respectively of triangle ABC.Find the equation of AB.

I am stuck from the start

 

[MarkFL]

Consider \(\displaystyle \Delta LMN\). Which side is parallel to \(\displaystyle \overline{AB}\)? Which given point is on \(\displaystyle \overline{AB}\)?

 

[mmm4444bot]

An image, to augment MarkFL's approach.