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A linear function 'f' models a relationship in which the dependent variable decreases 4 units for every 2 units the independent variable increases. The value of the function at 0 is -2. Identify the slope, y-intercept, and x-intercept.

 Feb 28, 2018
 #1
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Letting y be the dependent variable and x the independent variable

 

The slope is    -4/ 2  =  -2

 

Since (0, -2)  is on the graph....then the y intercept is  -2

 

To  find the x intercept  we can use this equation

 

y  = -2x -2     let  y  = 0

 

0  =  -2x - 2     add 2 to both sides

 

2  =  -2x      divide both sides by -2

 

-1  =  x    ⇒    the x intercept is  (-1, 0)

 

 

cool cool cool

 Feb 28, 2018

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