Final answer:
The slope of line m is calculated using the points (1,1) and (9,10), yielding a result of 9/8, which is not listed in the options. There seems to be an error as none of the options match the calculated slope. However, if referencing Figure A1, the slope is described to be 3.
Step-by-step explanation:
The question asks for the slope of line m, which passes through the points (1,1) and (9,10). To find the slope, we need to use the formula for slope, which is defined as the change in the vertical axis (rise) divided by the change in the horizontal axis (run). Using the given points, we subtract the y-coordinates and the x-coordinates correspondingly to find the rise and the run: slope = (10 - 1) / (9 - 1) = 9 / 8. However, this result is not among the options provided (a) 1 b) 9 c) 1/3 d) 3), indicating a possible error in the question or the options given. If this is an oversight and we are to find the slope of the line graph described in the provided Figure A1, then the slope would be 3, as it states there is a rise of 3 for every unit of run.