chrisnicolas40 chrisnicolas40
  • 16-08-2020
  • Mathematics
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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x-1

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BasketballEinstein
BasketballEinstein BasketballEinstein
  • 16-08-2020

Answer:

[tex]\displaystyle \boxed{y = -1\frac{1}{3}x + 22}[/tex]

Step-by-step explanation:

Parallel Equations have SIMILAR RATE OF CHANGES [SLOPES], so keep [tex]\displaystyle -\frac{4}{3}[/tex]as is and do this:

14 = −4⁄3[6] + b

14 = −8 + b

+ 8 + 8

_________

[tex]\displaystyle 22 = b \\ \\ y = -1\frac{1}{3}x + 22[/tex]

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