Final answer:
The equation of the graph in slope-intercept form, based on the provided reference, is y = 3x + 9. The options given in the question do not match this and are likely from a different question.
Step-by-step explanation:
The question seems to be about identifying the equation of a graph in slope-intercept form. The standard format for the slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line and b represents the y-intercept. Based on the given information, the slope (m) is 3 and the y-intercept (b) is 9. Therefore, the equation of the graph in slope-intercept form is y = 3x + 9.
The options provided in the student's question do not match the graph described in the reference information. The reference indicates a line with a slope of 3, rising 3 units vertically for every 1 unit increase horizontally, and intersecting the y-axis at 9. The provided options may be part of a different question as they do not reflect the slope and y-intercept provided in the reference materials.