recall that the slope, namely the average unit rate of change, is rise/run.
so, what's the slope for the function in the table? well, we can simply pick any two points and get it, or just use the first point rise of 8 and a run of 7, gives us a slope of 8/7 or 1⅐.
now, let's take a peek at the lines, they all have a "rise" of 6, notice they're all lying on the y = 6 line horizontally.
1)
rise = 6, run = 2, slope 6/2 = 3.
well, 3 is more than 2, so no that one.
2)
rise = 6, run = 3, slope = 6/3 = 2.
well 2 = 2, so no that one either.
3)
rise = 6, run = 4, slope 6/4 = 3/2.
3/2 is actually larger than 8/7 and less than 2, you can check. so ✔
4)
rise = 6, run = 5, slope = 6/5.
6/5 or 1⅕ is more than 8/7, and is clearly less than 2, so ✔
5)
rise = 6, run = 6, slope = 6/6 = 1.
well, needless to say 1 is less than 2 but is less than 8/7, recall 8/7 is actually 1⅐.
