Final answer:
The equation y = 9 + 3x represents a straight line with a slope of 3 and a y-intercept of 9. To graph this equation, choose different x values, calculate the corresponding y values, and plot the points on a graph. Connect the points with a straight line.
Step-by-step explanation:
The given equation is y = 9 + 3x, where 9 represents the y-intercept and 3 represents the slope. The y-intercept is the point where the line intersects the y-axis, which in this case is 9. The slope of the line is 3, which means there is a rise of 3 on the vertical axis for every increase of 1 on the horizontal axis.
To graph this equation, you can choose different values for x and calculate the corresponding values of y. Then, plot these points on a graph and connect them with a straight line. The resulting graph will be a straight line with a slope of 3 and a y-intercept of 9.