How do you calculate the slope of a trend line that passes through the points (3, 3) and (18, 26)?

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To find the slope of a trend line that passes through two points, you can use the slope formula, which is:

Slope (m) = (y2 – y1) / (x2 – x1)

For the points (3, 3) and (18, 26):

  • Point 1 (x1, y1) = (3, 3)
  • Point 2 (x2, y2) = (18, 26)

Now, substitute the values into the slope formula:

m = (26 – 3) / (18 – 3)

Calculate the differences:

  • y2 – y1 = 26 – 3 = 23
  • x2 – x1 = 18 – 3 = 15

Now, plug these results back into the slope formula:

m = 23 / 15

Therefore, the slope of the trend line that passes through the points (3, 3) and (18, 26) is:

m = 1.53 (approximately)

This means that for every 15 units that the x-coordinate increases, the y-coordinate increases by about 23 units, indicating a positive trend in the data represented by these points.

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