Question

Write the equation of line passing through the origin, $2^{nd}$ quadrant and $4^{th}$ quadrant.

Answer 1

Equation of the line whose slope is $m$ and passes through the origin is in the form of $y=mx$

i ) if $m>0$ the line lie in first and third quadrant

ii ) if $m<0$ the line lie second and fourth quadrant

Therefore , if take $m=anynegativerationalnumber$ we can write required equations which passes through origin and lie $2^{nd}$ and $4^{th}$ quadrant.

Thus $y=mx,m<0$