The table below represents a linear function f(x) and the equation represents a function g(x):
Part A: 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).
Part B: Which function has a greater y-intercept? Justify your answer.
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OpenStudy (loading):
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@dan815
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@Directrix
OpenStudy (loading):
@Minecraft40952
OpenStudy (loading):
@kittymeow101
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@ikram002p
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@uri
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@petiteme
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@rvc
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I really need some help.
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Directrix (directrix):
Hold on.
OpenStudy (loading):
Okay.
OpenStudy (loading):
@Abhisar
Directrix (directrix):
The slope of the table data function is m = (32-30)/(1-0) = 2/1 = 2.
That is the same slope as that of g(x)= 8x -25.
Directrix (directrix):
The slope of g(x) = 8x -25 is 8 because in y = mx +b form in which the equation is written, the slope is the coefficient of the x term.
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OpenStudy (loading):
Thanks.
OpenStudy (loading):
g(x)
Directrix (directrix):
This is for you to think about: Part B: Which function has a greater y-intercept? Justify your answer.
OpenStudy (loading):
Okay.
Directrix (directrix):
Using points (0,30) and (1,32) in the online calculator, the equation of the table data line is this: y = 2x + 30. The y-intercept is 30.
The y intercept is where the graph cuts the y-axis.
The given line had y-intercept -25.
30 > -25
g(x) does not have the greater y-intercept, does it?