Question

find the distance from(-6,-1)to the line defined by y==3x-3. express as a radical or a number rounded to the nearest hundredth.

Answer 1

Distance to a line from a point is defined as the length of the segment perpendicular to the line from the point.


If you find the line perpendicular to y=3x - 3 that passes through (-6,-1), you should be able to find the point where that line intersects the original one and then use distance formula.