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To find the slope, or rate of change, between the two given points (1997, 1.26) and (2006, 2.31), we can use the formula for slope:
Slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Let's plug in the values into the formula:
Slope = (2.31 - 1.26) / (2006 - 1997)
Slope = 1.05 / 9
Slope ≈ 0.1167
Therefore, the slope, or rate of change, between the two points is approximately 0.1167.
To arrive at this answer, I subtracted the y-coordinate of the first point (1.26) from the y-coordinate of the second point (2.31) to get the change in the y-values. Then, I subtracted the x-coordinate of the first point (1997) from the x-coordinate of the second point (2006) to get the change in the x-values. Finally, I divided the change in y-values by the change in x-values to find the slope.