Determine if the lines through the given points (3,2), (5,8) are parallel and which, if any, are perpendicular

Marley Meyers

Marley Meyers

Answered question

2022-10-17

Determine if the lines through the given points (3,2), (5,8) are parallel and which, if any, are perpendicular

Answer & Explanation

Kyle Delacruz

Kyle Delacruz

Beginner2022-10-18Added 21 answers

The slope m of the line parallel to the line passing through the given points ( x 1 , y 1 ) ( 3 , 2 ) & ( x 2 , y 2 ) ( 5 , 8 ) is given as
m = y 2 - y 1 x 2 - x 1
= 8 - 2 5 - 3
= 3
The slope m of the line perpendicular to the line passing through the given points ( x 1 , y 1 ) ( 3 , 2 ) & ( x 2 , y 2 ) ( 5 , 8 ) is given as
m = - 1 y 2 - y 1 x 2 - x 1
= - 1 8 - 2 5 - 3
= - 1 3

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