Derive the equation of the line through the origin

Answer 1

The equation of a line passing through the origin can be expressed in the form y = mx, where m is the slope of the line.

Since the line passes through the origin, the y-intercept is 0. Therefore, the equation can be written as y = mx + 0.

Simplifying further, we get y = mx.

Thus, the equation of the line passing through the origin is y = mx.