How do you determine if the lines through the given points (3,2), (5,8) are parallel and which, if any, are perpendicular?

Question

3067 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-27T13:38:53

See hint below

HINT:

The slope #m# of the line parallel to the line passing through the given points #(x_1, y_1)\equiv(3, 2)# & #(x_2, y_2)\equiv(5, 8)# is given as

#m=\frac{y_2-y_1}{x_2-x_1}#

#=\frac{8-2}{5-3}#

#=3#

The slope #m# of the line perpendicular to the line passing through the given points #(x_1, y_1)\equiv(3, 2)# & #(x_2, y_2)\equiv(5, 8)# is given as

#m=-{1}/{\frac{y_2-y_1}{x_2-x_1}}#

#=-1/\frac{8-2}{5-3}#

#=-1/3#