To determine the equation that would be perpendicular with a certain line, we must first know the characteristics of a perpendicular line. This line would have a 90 degrees angle with another line so that the slope of this line would be the negative reciprocal of the slope of the other line. To write the equation, given a certain point we use the point-slope form of a line, y -y1 = m(x - x1).
Original line: -x + 5y= 14 y = x/5 + 14/5 slope = 1/5
Perpendicular line's slope = -5 y - y1 = m (x - x1) y - (-2) = -5 (x - (-5)) y = -5x - 25 -2 y = -5x -27
