The line lx + my + n = 0 will be parallel to | vedclass

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(D) The general equation of a line is $lx + my + n = 0$.For a line to be parallel to the $x$-axis,its slope must be $0$.The slope of the line $lx + my

Vedclass · Accepted Answer

$l = 0$

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(D) The general equation of a line is $lx + my + n = 0$.For a line to be parallel to the $x$-axis,its slope must be $0$.The slope of the line $lx + my + n = 0$ is given by $m_{slope} = -\frac{l}{m}$.Setting the slope to $0$,we get $-\frac{l}{m} = 0$,which implies $l = 0$ (provided $m 
eq 0$).Thus,the equation becomes $my + n = 0$,or $y = -\frac{n}{m}$,which represents a line parallel to the $x$-axis.

The line $lx + my + n = 0$ will be parallel to the $x$-axis,if

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