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Given the points (8,7) and (0,4), find the slope of the line. Round the answer to two decimal places.

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Final answer:

To calculate the slope of a line between the points (8,7) and (0,4), we use the slope formula (y2 - y1) / (x2 - x1), yielding a slope of 0.375 when rounded to two decimal places.

Step-by-step explanation:

To find the slope of the line passing through the points (8,7) and (0,4), we can use the slope formula which involves calculating the rise over run. The formula is given by:

m = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of the two points. For the given points, we have:

  • x1 = 8, y1 = 7
  • x2 = 0, y2 = 4

Plugging these values into the slope formula, we get:

m = (4 - 7) / (0 - 8) = -3 / -8 = 0.375

Therefore, the slope of the line is 0.375 when rounded to two decimal places.

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