sebichemarraot1mxe
sebichemarraot1mxe sebichemarraot1mxe
  • 15-03-2018
  • Mathematics
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When analyzing three linear functions Bill notice that they all intercepted the point (10, 10). What conclusion can Bill come to about the linear function with the largest slope?

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Demiurgos
Demiurgos Demiurgos
  • 15-03-2018
The function with the largest slope will have the smallest y-intercept.
We know that all functions intercept at (10,10). Because of that, we can write this down:
[tex]y=a_1x+n_1\\ y=a_2x+n_2\\ y=a_3x+n_3\\[/tex]
a represents the slope, and n represents the y intercept. 
[tex]10=10a_1+n_1\\ 10=10a_2+n_2\\ 10=10a_3+n_3\\[/tex]
From this it is pretty obvius that if you have a higher slope you must have smaller y-intercept.
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