Question 831412
1.  The slope of the line is (k - 2)/(7 - 4), which amounts to (k - 2)/3

2.  If the slope is 11/6, then we can write:
    11/6 = (k - 2)/3

3.  Multiply the equation by 6.  We now have:
    11 = 2k - 4

4.  From the above, 15 = 2k;  or k = 7.5