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Question

Find the equation of the line which passes though (0, 0) with slope m .

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Solution

The point through which the line passes is ( 0,0 ) and the slope of the line is m.

The formula for the equation of a non-vertical line having slope m and passing through the point ( x 0 , y 0 ) is given by.

( y y 0 )=m( x x 0 )(1)

Substitute the values of ( x 0 , y 0 ) as ( 0,0 ) in equation (1).

( y0 )=m( x0 ) y=mx

Thus, the equation of line passing through the point ( 0,0 ) and the slope of the line is m is y=mx.


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