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Lemur [1.5K]
2 years ago
8

What is the slope of the line that goes through the points (1,-5) and (4,1)?

Mathematics
1 answer:
lesya692 [45]2 years ago
4 0

Answer: m = 2

Step-by-step explanation:

What we know:

  • The slope needs to pass through the points (1, -5) and (4, 1)
  • There are 4 potential slopes given to us- only one is correct
  • We need to find the slope and make sure it is an option

How to solve:

By using the slope equation and the two points given to us, we can calculate the slope.

Process:

  • Set up equation                                                 (y2 - y1) / (x2 - x1)
  • Substitute                                                            (1 +5 ) / (4 - 1)
  • Simplify                                                                6 / 3
  • Simplest form                                                      2/ 1 =

Slope =                                                                          2

Solution: m = 2

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X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
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