What is the slope of the line that connects the points (1, 5) and (3, 2)?

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The slope of a line is a measure of how steep the line is, and it is calculated by using the formula:

  • Slope (m) = (y2 – y1) / (x2 – x1)

In this case, the two points given are (1, 5) and (3, 2), where:

  • (x1, y1) = (1, 5)
  • (x2, y2) = (3, 2)

Now, let’s substitute these values into the slope formula:

m = (y2 - y1) / (x2 - x1)
   = (2 - 5) / (3 - 1)
   = (-3) / (2)
   = -1.5

Thus, the slope of the line that connects the points (1, 5) and (3, 2) is -1.5. This negative value indicates that the line is sloping downwards as you move from left to right.

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