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The graph of a roller coaster track goes in a straight line through coordinates (10, 54) and (42.48) with coordinates in feet. A support beam runs parallel 12 feet below the track. What equation describes the support beam?

Respuesta :

mhanifa

Answer:

  • y = -3/16x + 43 7/8

Step-by-step explanation:

The equation of the line through the points (10, 54) and (42, 48)

  • y = mx + b

Slope

  • m = (48 - 54)/(42 - 10) = - 6/32 = -3/16
  • y = -3/16x + b

y-intercept

  • 54 = -3/16*10 + b
  • b = 54 + 15/8 = 55 7/8

So the line is

  • y = -3/16x + 55 7/8

The support beam has y-intercept 12 feet below

  • b = 55 7/8 - 12 = 43 7/8

Required equation

  • y = -3/16x + 43 7/8

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