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What is the slope of the line passing through the points (2, 3) and (5, 8)?

  1. -3

  2. 3

  3. 1/3

  4. -1/3

The correct answer is: 3

The slope, also known as the gradient, is a measure of how steep a line is. It is calculated by dividing the change in the y-coordinates by the change in the x-coordinates between two points on a line. In this case, we can see that for the given points, there is an increase of 5 in the y-coordinate and an increase of 3 in the x-coordinate. This means that the slope of the line is 5/3. Since the given options for the slope are all whole numbers or fractions, we can eliminate options A and D which are negative. This is because the given points have a positive slope. Additionally, option C of 1/3 is incorrect because as we can see, the slope is larger than 1. Therefore, the only correct option is B which has a slope of 5/3.