We can figure out the answer to this problem by studying the signs.
To get the “-” in 16x^2 – 36, we need a “+” and a “-” so when they are multiplied together they will equal a “-“.
Answer (1) has 2 negatives that when multiplied will equal a positive
Answer (3) has 2 negatives that when multiplied will equal a positive
Answer (4) has 2 positives that when multiplied will equal a positive
So find the one that has a positive and negative!  2 points :)

Another way to say constant rate of change is slope  of a linear line.  
Notice that in answer (1), while x is getting bigger, so is y — this is a positive slope of 3, and definitely does not match with the -3 we are looking for.
If you graph answer 2, it’s all over the place and doesn’t even have a constant rate of change.
Looking at the graph in answer 3, we can either use rise over run or the slope formula 
m = (y2-y1)/(x2-x1) using two points on the graph (0,3) and (1,1).  We can also say “When x  goes up by 1, how much does y change?” and here we can see the slope is -2.
For answer 4, we would divide both sides by 2 to get a y= mx + b which would be y = -3x + 5 and here we can see the slope (m) would be -3.  

For more detail, below please find the table and the graph regraph with zoom 5 zoom square) which makes the tickmarks fair:

Looking at the graph and the table, we can see the point of intersection is (1,3)…now we have to read the answer carefully.  Notice that answers 3 and 4 are backwards.  And that answers 1 and 2 are the x value that makes the equation true.  Match up the x value with the x value in the point (1,3) and voila — 2 more points!