Find the slope of any line perpendicular to the line passing through (24,−2) and (18,19)

Hunter Shah 2022-10-16 Answered
Find the slope of any line perpendicular to the line passing through (24,−2) and (18,19)
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Answers (1)

Besagnoe9
Answered 2022-10-17 Author has 9 answers
The first step is to calculate the gradient (m) of the line joining the 2 points using the gradient formula
m = y 2 - y 1 x 2 - x 1
where ( x 1 , y 1 ) and ( x 2 , y 2 ) are the coords of 2 points
let ( x 1 , y 1 ) = ( 24 , - 2 ) and ( x 2 , y 2 ) = ( 18 , 19 )
substitute these values into formula for m.
m = 19 + 2 18 - 24 = 21 - 6 = - 7 2
Now if 2 lines with gradients m 1 and m 2 are perpendicular
then their product m 1 . m 2 = - 1
let m 2 be gradient of perpendicular line
m 2 = - 1 m 1 = - 1 - 7 2 = 2 7
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