Question 1151343
<br>
(1) Since the problem doesn't say that function H is linear, the problem really can't be answered.<br>
However, since the given points of function H SEEM TO INDICATE that the function is linear, we can go ahead and work the problem.<br>
(2) Having assumed that H is a linear function, there is no need to go through the formal mathematics shown by the other tutor (although that might be good for learning purposes).  It is very easy to find the y-intercept of function H informally.<br>
H(4)=5; H(2)=2.
Since the function is linear, that means decreasing x by 2 decreases y by 3.
That means H(0) (the y-intercept, which we want) is 3 less than H(2): 2-3 = -1.<br>
So the y-intercepts of the two functions are 6 and -1; the difference is 7.<br>