Final answer:
The equation in slope-intercept form of the line that is a segment bisector of both segment AB and segment CD is y = 3x + 9.
Step-by-step explanation:
To find the equation in slope-intercept form of the line that is a segment bisector of both segments AB and CD, we need to find the slope and the y-intercept of the line. Given the information from Figure A1, the slope of the line is 3 since there is a rise of 3 on the vertical axis for every increase of 1 on the horizontal axis. The y-intercept is given as 9, which means that the line intersects the y-axis at the point (0, 9). Therefore, the equation in slope-intercept form of the line is y = 3x + 9.