Find the slope of any line perpendicular to the line passing through (15,−22) and (12,−15)

liachta6VW

liachta6VW

Answered question

2022-11-26

Find the slope of any line perpendicular to the line passing through (15,−22) and (12,−15)

Answer & Explanation

Dangelo Cain

Dangelo Cain

Beginner2022-11-27Added 8 answers

Given 2 perpendicular lines with slopes m 1 and m 2 then
| a a m 1 × m 2 = - 1 a a | ̲ ¯
We require to calculate m 1 using the gradient formula
| a a m = y 2 - y 1 x 2 - x 1 a a | ̲ ¯
where ( x 1 , y 1 ) and ( x 2 , y 2 ) are 2 coordinate points
The 2 points here are (15 ,-22) and (12 ,-15)
m 1 = - 15 - ( - 22 ) 12 - 15 = 7 - 3 = - 7 3
Thus - 7 3 × m 2 = - 1
m 2 = - 1 - 7 3 = 3 7
Hence the slope of any line perpendicular to the line passing through the 2 given points is m = 3 7

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