you know that your line is perpendicular to the line with equation y equals 3x + 5 right whenever a line is perpendicular to another perpendicular not parallel to the line has a negative slope of the other line for example if you had a line with slope 2 x in the line perpendicular to that would have slope -1 / 2X so then you line in your question has slope -1 / 3 x by doing the Rococo of 3 and adding a negative sign to your equation sulfur looks like this y equals negative 1 / 3 x + B where is B is a constant 3 all you have to do is solve for b is a plug in the coordinate values 6 equals x minus -2 equals one in rearrange y equals -1 / 3 x + B negative two equals negative one over three 6 plus b negative two equals negative two plus be there for me easy roast F4U equation of the line is y equals -1 / 3 x
