Respuesta :
For lines to be perpendicular, their slopes have to be negative reciprocals of each other. (flip the sign +/- and the fraction(switch the numerator and the denominator))
For example:
Slope = [tex]\frac{1}{3}[/tex]
Perpendicular line's slope = [tex]-\frac{3}{1}[/tex] or -3 (flip the sign from + to -, flip fraction)
Slope = -2 or [tex]-\frac{2}{1}[/tex]
Perpendicular line's slope = [tex]\frac{1}{2}[/tex] (flip the sign from - to +, and flip the fraction)
The slope of line a is 3, so the slope of line b is [tex]-\frac{1}{3}[/tex]
