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How to do this algebra 1?

1.write an equaation for the sentence below: The difference of twice a number and 16 is equal to the quotient of three times the number 8.

  1. Write the point-slope form of an equation for the line passing through the point at (3,-6) with slope -4/3.
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Answer #1
  1. y=mx+b you know x=3, y=-6, and m=-4/3 solve for b…b=y-mx final equation will be y=(-4/3)x+b (where be is the value you just solved for)
Answer #2
  1. write the point-slope form of an equation for the line passing through the point at (3,-6) with slope -4/3.

okay step by step.. the formula is y = mx + b in (3,-6); y = -6 and x = 3 m = slope which is -4/3 a.) so therefore your formula should be : -6 = -4/3(3) + b b.) multiply -4/3 by 3 to cancel your slope out and the result should be -4 c.) your equation is now -6 = -4 + b
d.) add -4 to -6 to get the answer, and you should get -2 e.) to fit that into an equation; you only need your slope and b, so the equation will be.. y = -4/3x -2

Answer #3

1. 2X-16=8/3

2. Y = -4/3 X -2

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