You can put this solution on YOUR website! a tangent is perpendicular to the radius at the point of tangency
___ so you need to find the distance from the point to the line, to find the radius of the circle
___ you already have the center, so the equation is (x-6)^2 + (y-7)^2 = r^2
5x + 24 = 20y ___ (1/4)x + 6/5 = y ___ the slope of the given line is 1/4
so the slope of the radius line (perpendicular) is -4
equation of radius line ___ (y - 7) = -4 (x - 6) ___ y = -4x + 31
