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What is the slope of the line that goes through the points (2,1) and (4,-3)?

  1. -2

  2. -4

  3. 2

  4. 4

The correct answer is: -4

The slope of a line represents the change in y values over the change in x values. In other words, it is the rate at which the line is rising or falling. To find the slope, we use the formula (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are the coordinates of two points on the line. In this case, the two points are (2,1) and (4,-3). Plugging these values into the formula, we get (-3-1)/(4-2) = -4/2 = -2. This means that the line has a slope of -2. By considering the other options, we can see they are incorrect because they do not represent the slope of the line passing through the given points. Option A, -2, is the negative of