A line perpendicular to y = (1/4)x+3 will have slope -4. <span>This is because when you multiply the slopes of the original line and the perpendicular line, you get -1. (1/4)(-4)=-1 </span> <span>The equation of the perpendicular line is </span> <span>y=-4x+b </span> <span>This line pases through (0,6) </span> <span>6=-4(0)+b </span> <span>b=6 </span> <span>y=-4x+6 is the line </span>
Total number of people in the department = 6 + 8 + 14 + 7 = 35 Total males = 6 + 14 = 20 Total female professor = 8 Total males or professor = 20 + 8 = 28