Final answer:
The statement that the slope of the line y = 1/9x + 2 is shallow is true. The slope of 1/9 indicates a gradual increase in y for each increase in x, making it less steep than a slope of 3.
Step-by-step explanation:
The question asks whether the statement "The slope of the line y = 1/9x + 2 is shallow" is true or false. To answer this, we need to understand that the equation of a line in the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. A slope of 1/9 indicates that for every one unit increase in x, y increases by 1/9 unit. This can be considered a shallow slope because the rise over run is quite small compared to steeper slopes. For example, in comparison, a slope with a ratio of 3 would indicate a rise of 3 units for each unit increase in x, resulting in a much steeper line.
In Figure A1, the described line has a slope of 3, which is steep. This is contrasted by the given equation y = 1/9x + 2, which shows that this line is indeed shallower than the one described in Figure A1. Therefore, the statement is true; the slope of the line y = 1/9x + 2 is indeed shallow.