Final Answer:
Point A coordinates: _(A_x, A_y)_, and Point I coordinates: _(I_x, I_y)_.
A has the highest y-coordinate, and I has the lowest; x-coordinates are determined by the given values, ensuring consistency with the downward slope.
Step-by-step explanation:
The given information describes a line segment sloping downward to the right from point A through points C, D, E, F, G, H, and I, with equal parts dividing AB. Let's denote the coordinates of point A as _(A_x, A_y)_ and point I as _(I_x, I_y)_.
To find the coordinates of A, we look at the starting point. Given that the line segment slopes downward to the right, as we move from A to B, the y-coordinates decrease. As point A is the starting point, it has the highest y-coordinate among the mentioned points. Therefore, the coordinates of point A are _(A_x, A_y)_.
Similarly, point I is the endpoint of the line segment. Since the line segment is divided into equal parts, we can infer that the coordinates of point I have the lowest y-coordinate among the mentioned points. Thus, the coordinates of point I are _(I_x, I_y)_.
In conclusion, the coordinates of point A are at the highest y-coordinate among the mentioned points, and the coordinates of point I are at the lowest y-coordinate. The x-coordinates can be determined by examining the given values for these points, ensuring consistency with the slope and direction mentioned in the question.