Line ℓ has equation y=x+3. Find the distance between ℓ and the point R( - 3, - 6).

Answer 1

1) determine the equation of the line perpendicular to y = x + 3, and passing through (-3, -6)

2) determine the point of intersection of that line and y = x + 3.

3) use the distance formula using the point of intersection and (-3, -6)