Find the slope of any line perpendicular to the line passing through (2,2) and (9,5)

Marques Flynn

Marques Flynn

Answered question

2022-11-24

Find the slope of any line perpendicular to the line passing through (2,2) and (9,5)

Answer & Explanation

Dakota Murillo

Dakota Murillo

Beginner2022-11-25Added 6 answers

the slope of the line passing through the given pts is 5 - 2 9 - 2 = 3 7
negative inverse of this slope will be the slope of the line perpendicular to the line joining the given pts.
Hence the slope is - 7 3
Brandon White

Brandon White

Beginner2022-11-26Added 1 answers

With more details
The standard form equation for a straight line graph is:
y=mx+c
Where
x is the independent variable (may take on any value you wish)
y is the dependant variable (its value deponds an what value you give x)
c is a constant
m is the gradient (slope)
To find the gradient of the given line

m = y 2 - y 1 x 2 - x 1 = 5 - 2 9 - 2 = 3 7
Determine the slope of any line perpendicular to this
Given that the first line had gradient m = 3 7
and that the gradient of the perpendicular line is ( - 1 ) × 1 m
Then we have: ( - 1 ) × 7 3 = - 7 3

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