A walking path across a park is represented by the equation y= -3x - 6 . A new path will be built perpendicular to this path. The path will intersect at the point (-3 , 3) . Identify the equation that represents the new path . WILL MARK BRAINIEST!

Answer:The equation that represents the new path is y=(1/3)x+4Step-by-step explanation:step 1Find the slope of the give linewe havey=-3x-6sothe slope m is equal tom=-3step 2Find the slope of the perpendicular line to the given lineRemember thatIf two lines are perpendicular, then their slopes are opposite reciprocal of each othersowe havem=-3 -----> slope of the given linethereforeThe slope of the perpendicular line is equal tom=1/3step 3With m=1/3 and the point (-3,3) find the equation of the liney-y1=m(x-x1)substitutey-3=(1/3)(x+3)y=(1/3)x+1+3y=(1/3)x+4 -----> equation that represent the new path