Line ℓ has equation y = - x + 3 . Find the distance between ℓ and the point I ( 1, - 7 ) .

Answer 1

Distance is measured on the normal to the given line.

1) Determine equation of line perpendicular to y = -x + 3.and passing through (1, -7)

2) Determine intersection of line and perpendicular

3) Use distance formal with (1, -7) and the intersection