Line g passes through points (5, 1) and (3, 4). Line h passes through points (7, 7) and (4, 5). Are line g and line h parallel or perpendicular?

Answer 1

g's slope = (4-1)/(3-5) =3/-2= -3/2

h's slope =(7-5)/(7-4)= 2/3

slope = "rise over run" = difference in y coordinates divuded by difference in x coordinates

they are perpendicular lines, since slopes are negative inverses

flip one line's slope upside down and change its sign you get the other line's slope

it may help to plot the points, connect them with 2 lines and visually see they look perpendicular, definitely not parallel, no matter how poor your sketch