Final answer:
The equation that represents the line shown on the graph is y = 9 + 3x.
Step-by-step explanation:
The equation that represents the line shown on the graph is y = 9 + 3x. This equation is in the slope-intercept form, where the slope is 3 and the y-intercept is 9. The slope of 3 means that for every increase of 1 on the horizontal axis, the line rises by 3 on the vertical axis.