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ASAP!!!!!! SHOW WORK!!!! Thank you

ASAP!!!!!! SHOW WORK!!!! Thank you-example-1
User Mrmoment
by
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2 Answers

3 votes

Slopes must be equal

slope of RS

  • m=4-8/1+1
  • m=-4/2
  • m=-2

Now

Slope of ST=-2

  • y-4/6-1=-2
  • y-4/5=-2
  • y-4=-10
  • y=-10+4
  • y=-6
User Davesnitty
by
8.6k points
5 votes

Answer:

  • y = -6

Explanation:

If the three points are collinear, the slopes of RS and ST are same:

  • m(RS) = (4 - 8)/(1 + 1) = -4/2 = -2
  • m(ST) = (y - 4)/(6 - 1) = (y - 4)/5

Since the sloes are equal we have the following equation:

  • (y - 4)/5 = -2
  • y - 4 = -10
  • y = -10 + 4
  • y = -6
User Khalik
by
8.1k points

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