SOLUTION: 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 slo

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 , 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:

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): You can put this solution on YOUR website!
The definition of slope is ( change in y ) / ( change in x )
You need either 2 points on a curve or the equation
of that curve to find the slope.
When the equation is in the form ,
is the slope, so if the equation is
, the slope is
-------------
Note that , and you can use either definition.
RELATED QUESTIONS
I am studying for a test and was womdering if there was someone that could help me with... (answered by stanbon)
i was studying for the ACT compass test and i am having problems with functions. the... (answered by jim_thompson5910,Edwin McCravy)
Hello, I am looking for help on the topic of composite function. I am studying for a test (answered by josgarithmetic)
Hi, my name is michelle. im working on a midterm review that i have tomorrow at 12. im... (answered by ad_alta)
I do not understand what the symbol is that looks like a multiplication symbol but is... (answered by Alan3354,ewatrrr)
f(x)=ax+b WARNING : THE PROBLEM IS EXTREMELY HARD 1. (I have already solved it!!!)... (answered by Fombitz,rothauserc)
Dear tutor i'm studying for the GRE and i'm having a lot of trouble translating the math... (answered by Fombitz,jojo14344)
I have a function f (x) = 7/2x-1 and, if possible, am meant to a) determine f(0),... (answered by Fombitz)
Hello Tutors, I am having trouble with the following problem. I have written some of... (answered by Fombitz)