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22 votes
22 votes
Given the points (-4,r) and (-8,3) find the value of r that results in a slope of -10

User Sriks
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1 Answer

13 votes
13 votes

Answer:

r = -37

Explanation:

Step 1: Write out what is known

  • Points are (-4,r) and (-8,3)
  • Slope = m = -10

  • m=(y_(2)-y_(1))/(x_(2)-x_(1))

Step 2: Set up an equation to solve for r


  • m=(3-r)/(-8-(-4)) =-10

Step 3: Solve for r


  1. (3-r)/(-8-(-4)) =-10\\

  2. (3-r)/(-8+4) =-10

  3. (3-r)/(-4) =-10

  4. (-4)(3-r)/(-4) =-10(-4)

  5. 3-r=40

  6. -r=37

  7. r=-37
User Dodgio
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