Question 637114: I am studying for the GRE and have a question about f(x) equations. The problem is f(x) = 3x + 4. I haven't studied f(x) problems in quite a while. How do I figure out what the slope of f is, and what the x and y-intercepts of f is? Also, any other information about slope equations would be greatly appreciated. Thank you!
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
) means the value of the function  at  .
Your function is in slope-intercept form, namely  , where \ =\ y) ,  is the slope, and  is the  -coordinate of the -intercept. To find the -coordinate of the -intercept, substitute  for and then solve the result for . Note: The -coordinate of the -intercept is , and the -coordinate of the -intercept is .
Given two points on the line you can calculate the slope thusly:
or you can derive an equation of the line using the two-point form:
(x\ -\ x_1) )
where ) and ) are the coordinates of the given points in either case.
Given the slope and a point, you can derive an equation of the line using the point-slope form thusly:
 )
where are the coordinates of the given point and  is the given/calculated slope.
If you are given a point and a line either parallel or perpendicular, you can use either:
and the point-slope form to derive an equation of the desired line.
John
My calculator said it, I believe it, that settles it
Answer by josmiceli(19441)  (Show Source):
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