Question 1176036
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I'm sorry for the rude response from the other tutor.  Some of the tutors here far too unforgiving regarding the rule "one question per post".<br>
Your post is not several different questions; it is one question with several parts.<br>
It would make no sense at all to ask you to post each of the examples in your post separately.<br>
I won't answer the questions or fill in your table for you; you won't learn anything if I do that.  All you need to know is this:<br>
(1) The equation is linear if it is a constant (e.g. example 4) or a constant with a variable to the first power.  It is not linear if it contains higher powers of x.  I assume the "x2" in examples 8-10 is supposed to be "x squared".  Use "^" to denote an exponent -- e.g. "-4x^2" instead of just "-4x2".<br>
Since examples 8-10 all contain an "x^2", they are not linear.<br>
(2) If the equation is linear and you want to find the slope and y-intercept, you need to put the equation in slope-intercept form, y=mx+b (or, in your notation, f(x) = mx+b).  In particular, in examples 6 and 7 you need to get rid of the parentheses before you can find the slope and y-intercept.<br>