The statements that are correct are A and E. A because the y-intercept for y=5x+12 is 12 and the table of values it is 5. E is correct because the rate of change for the table of values is 24 and y=5x+12, it is 5.
I think the answer is 1/16 because there is only one way that HTHT can fall out of 16 possible outcomes. That's what I think. Hope this helps!
Let's apply the formula giving the slope:
m=(y2-y1) /(x2-x1) , let's plug:
m= (8-0) / (3-(-1)) ====> m= 2