jaden4kt60
jaden4kt60 jaden4kt60
  • 30-09-2020
  • Mathematics
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2. Find the equation of a line parallel to y=6x-4 and through point (-2,14)​

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MathTutors
MathTutors MathTutors
  • 30-09-2020

Answer: y=6x+26

Step-by-step explanation:

To find the equation of a line parallel to the given equation, the slope must stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST be the same. All we have to do is plug the given point into the equation to find the y-intercept.

14=6(-2)+b          [multiply]

14=-12+b             [add both sides by 12]

b=26

Now, we know that the equation of y=6x+26.

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