Question

The equation of a line that passes through the origin is ___.

- A) \(y = mx\)
- B) \(y = mx + b\)
- C) \(y = x\)
- D) \(x = my\)

Answer 1

The equation of a line that passes through the origin is y = mx.

Step-by-step explanation:

In the equation y = mx, m represents the slope of the line. Since the line passes through the origin, the y-intercept is 0. Therefore, the equation does not include a constant term.

For example, if we have a line with a slope of 2, the equation would be y = 2x. This means that for every increase in x by 1, y increases by 2.