Question

What is 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 1

see below

Explanation:

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`.2y-3x=0`