Final answer:
The given figures inconsistently describe a line with a slope of 3 and a y-intercept of 9, which would correspond to the equation y = 3x + 9. However, none of the provided answer choices match this description, indicating a possible typo in the question or figures.
Step-by-step explanation:
The question pertains to the slope and y-intercept of a linear equation in the slope-intercept form, which is expressed as y = mx + b, where m represents the slope and b is the y-intercept. We can determine these values by analyzing the given line graph in Figure A1: It specifies that the slope (rise over run) is 3, and the y-intercept is 9. However, the question's context seems to contain an error or typo, as none of the provided answer choices match the details given in Figure A1. When we mention the slope, we refer to the steepness or incline of the line, and the y-intercept is the point where the line crosses the y-axis.
Since the slope is described as a rise of 3 units for every 1 unit increase along the horizontal axis, and the y-intercept is at 9, the correct equation of the line according to Figure A1 should be y = 3x + 9. Therefore, if such an option were available, it would be the correct answer. Nonetheless, based on the choices provided in the question and the information contained in the figures, there might be some confusion, as none of the choices correspond exactly to Figure A1.