The table below represents a linear function f(x) and the equation represents a function g(x): -1 -9 0 -1 1 7 g(x) g(x) = 3x - 2 Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

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The table below represents a linear function f(x) and the equation represents a function g(x): -1 -9 0 -1 1 7 g(x) g(x) = 3x - 2 Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Mathematics
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i dont understand how to change that table into an equation. i know that the last numbers of the equation is - 1 because 0 times any number is 0 and then you get -1 because of you subtract 1
To convert any table of data that represents only "linear function" then you have to know the general formula of any line which is known to be : \[y/f(x) = mx + c\] where m is the slope of that line while c is known as y-intercept .. the part that the line intercepts y-axis when x = 0 So now it is obvious that f(x) has the form mx+c
a linear equation is of the form y = mx + b where m is the slope and b is the y value when x = 0 in the form of a table you are given the x and corresponding y value

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so do i plug them into the equation and solve?
the slope of a line is the change in y divided by the corresponding change in x
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To get m U choose any two points from the given table and get the slope using the slope formula : slope = y2-y1 / x2-x1
ohhhh
so if i would use 1,7 and -1,9 would that work?
And to get c U have to plug with any point with the values of x , y and m then you have an equation of one unknown which is c , then solve to get c and you then have the equation Let me know if U got it :)
Yup, just choose "any" two points
so i would get -2 over 2?
so the slope is -2.
and i plug in the slope to find c
actually this question does not want the equation for f(x) it only asks to compare the slopes
the higher the number the steeper the slope
slope is not 2 btw :)
ugh.
stupid math
thank you for being patient with me
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no problem, feel free to ask anytime :D
i understand that but that equation you gave for me to find the slope is hard to understand. i had chosen two points and had gotten the wrong slope
you made a mistake with the point used should be -9 try again
oh wait i got it. its 8
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:0 thats what i did
thank you ver much!
so you still need to answer the question hope my drawing will help
yeah i did. Thanks!
you are welcome

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