The slope of a perpendicular line is the opposite reciprocal of the slope of the line that is given which means that the slope of the perpendicular line in this case is -5. To get the equation of the perpendicular line that goes through the point (1, -2 ) plug in the x and y vales along with the slope you calculated into the point slope formula and solve to get the slope intercept form.
y-(-2) = -5(x-1)
y=-5x + 3
