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erastova [34]
4 years ago
7

Write an equation in point-slope form of the line that passes through (4,1),(-2,7)

Mathematics
1 answer:
pentagon [3]4 years ago
8 0

Answer:

(y - 1) = -1 (x - 4)

Step-by-step explanation:

Step 1: Find the m (slope) using slope formula

(y2 - y1)/(x2 - x1) aka (7 - 1)/(-2 - 4) = 6/-6 thus, m (slope) is -1

Step 2: Use point of your choice (I used [4,1]) and plug the slope and point into equation. Note: equation is (y - y1) = m (x - x1)

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3 years ago
What is the equation of the line that has a slope of -4 and goes through (-1,6)
Rama09 [41]

Answer:

y = -4x + 2

Step-by-step explanation:

  • We know that the equation of slope is y = mx + b
  • We also know that the slope is -4 given in this problem
  • So:
  1. y = -4x + b
  2. Using the point (-1, 6), we can substitute this point into the above equation to solve for b.
  3. (6) = -4(-1) + b
  4. 6 = 4 + b
  5. b = 2
  6. Therefore the equation of the line is y = -4x + 2
3 0
3 years ago
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