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Mathematics 14 Online
OpenStudy (loading):

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.

OpenStudy (loading):

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@dan815

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@Directrix

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@Minecraft40952

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@kittymeow101

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@ikram002p

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@uri

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@petiteme

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@rvc

OpenStudy (loading):

I really need some help.

Directrix (directrix):

Hold on.

OpenStudy (loading):

Okay.

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@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.

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?

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