How do you determine the slope of the line using the points (0, 32) and (100, 212)?

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To find the slope of the line that passes through the given points, we can use the slope formula, which is defined as:

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

In this case, we have two points:

  • Point 1: (0, 32) where x1 = 0 and y1 = 32
  • Point 2: (100, 212) where x2 = 100 and y2 = 212

Now, we can plug these values into the slope formula:

m = (212 - 32) / (100 - 0)

Calculating the differences in the y and x values:

m = 180 / 100

Now, divide 180 by 100:

m = 1.8

Thus, the slope of the line that passes through the points (0, 32) and (100, 212) is 1.8. This indicates that for every increase of 1 unit in the x-direction, the value of y increases by 1.8 units.

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