The graph shows the proportional relationship. Derive the equation of the line y=mx through the origin. (1 point) y=

1 answer

In a proportional relationship, the equation of the line is represented as \( y = mx \), where \( m \) is the slope of the line.

To derive the equation \( y = mx \), you would need to determine the slope \( m \) from the graph. The slope is calculated as the change in \( y \) divided by the change in \( x \) (rise over run).

For example, if the graph shows that for every increase of 1 unit in \( x \), \( y \) increases by 2 units, the slope \( m \) would be 2. Thus, the equation of the line would be:

\[ y = 2x \]

If you provide specific values or points from the graph, I can help you calculate the slope \( m \) and write the specific equation.