Find the equation of the line that passes through the origin and is perpendicular to the line that passes through the following points: (9,4),(3,8)

Trace Glass

Trace Glass

Answered question

2022-10-15

Find the equation of the line that passes through the origin and is perpendicular to the line that passes through the following points: (9,4),(3,8)

Answer & Explanation

hanfydded1c

hanfydded1c

Beginner2022-10-16Added 17 answers

The slope of the the line passing through (9,4) and (3,8) = 4 - 8 9 - 3
- 2 3
so any line perpendicular to the line passing through (9,4) and (3,8) will have slope (m) = 3 2
Hence we are to find out the equation of the line passing through (0,0) and having slope = 3 2
the required equation is
( y - 0 ) = 3 2 ( x - 0 )
i.e. .2 y - 3 x = 0

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