These are very strangely worded questions. I think they are trying to challenge you to do some thinking, or to present the material in an interesting way, but they could have been a little clearer.
I believe question 1 is asking you which x values might make the line easy to graph. For example, if you put something like -59.23 for the value of x in , you will find the resulting point (-59.23, -175.69) very annoying to graph. But if you put in integers which are fairly small (like -2, -1, 0, 1, 2, etc.), you will find y both very easy to calculate and to graph. If the function is something like , then it would be wise to choose x-values which are perfect squares (like 4, 9, 16, etc.) so that the resulting y-values will be integers. So generally, you would want to pick values for x such that the resulting value for y will be a low integer.
The question might also be asking what the minimum amount of information you would need to graph something is. Well, you need at least two points to graph a line, so you would preferably choose two low x-values which result in low integer y-values.
Question 2 seems to just be asking you the meaning of the words "independent" and "dependent". Well, the equation is written in such a way that you can plug in any value for x that you want and then calculate the corresponding y-value. So, since the y-value depends on what you chose for the x-value, we call y the dependent variable.
For question 3, the intercepts are the points where the line crosses the x- or the y-axis. I imagine that your book has given you something like for the x-intercept and for the y-intercept. The point the intercepts always have in common is zero: the x-intercept has 0 for the y-coordinate, and the y-intercept has 0 for the x-coordinate. To solve for the x-intercept, you let y equal 0 and solve for x. To solve for the y-intercept, you let x equal zero and solve for y.
Congratulations on starting over on math! I am doing much the same thing. Good luck!