Question

the equation of line AB is y = 1/5x -1 write an equation of a line perpendicular to line AB in slope intercept form that contains point (1, -2)

Answer 1

Y= -5x+3 is the equation that is perpendicular to line AB with the point (1,-2) 

Answer 2

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