How can we say that, An equation of the type y = mx represent a line passing through the origin.

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Solution

The given equation is
$y = m x$
put x = 0 in the above equation, we get
$y = m (0) = 0$
So, (0, 0) is a solution of the above equation or the given line passes through (0, 0). Now (0, 0) are the coordinates of the origin, so we can say that y = mx passes through the origin.

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How can we say that, An equation of the type y = mx represent a line passing through the origin.

The given equation is y = m x put x = 0 in the above equation, we get y = m (0) = 0 So, (0, 0) is a solution of the above equation or the given line passes through (0, 0). Now (0, 0) are the coordinates of the origin, so we can say that y = mx passes through the origin.

The given equation is
$y = m x$
put x = 0 in the above equation, we get
$y = m (0) = 0$
So, (0, 0) is a solution of the above equation or the given line passes through (0, 0). Now (0, 0) are the coordinates of the origin, so we can say that y = mx passes through the origin.