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What is the slope of the line that passes through (−4, −5) and (2, 3)?

  1. -2/3

  2. 3/2

  3. -3/2

  4. 2/3

The correct answer is: -3/2

The other options are incorrect because they are either calculated from the wrong coordinates (-4 and -5 instead of -5 and -5), or they are the inverse values of the correct answer (-2/3 instead of -3/2). Remember that the slope is calculated by taking the difference of the y-coordinates over the difference of the x-coordinates (or rise over run) and the slope of a line is directly related to its inclination or angle. In this case, the slope is negative and with a smaller absolute value than 1, indicating that the line is not very steep. This means that for every 2 units that the line moves up (or down) it also moves 3 units to the right (or left). Therefore, the slope of this line is -3/2.