Question

An equation of the type y=mx represents a line passing through the origin . Can anyone explain this with example pls. ​How does it pass through the origin???

Answer 1

Step-by-step explanation:

From the basic knowledge relating lines, we know,

Equations of lines are discribed according to y - y$_1$ = m( x - x$_1$ )

*where m is the slope of line and ( x$_1$, y$_1$ ) is point on line.

Here, we have y = mx

= > y = mx

= > y - 0 = m( x )

= > y - 0 = m( x - 0 ) ... (1)

On comparing (1) with y - y$_1$ = m( x - x$_1$ ),

We can say that ( 0,0 ) is a point lying on that line.

Hence we can say that the line passes through origin.