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

  1. -1

  2. -2

  3. -3

  4. -6

The correct answer is: -1

A line's slope is the measure of how steep or flat it is. A positive slope indicates that the line is moving upward from left to right, while a negative slope indicates that the line is moving downward from left to right. In this scenario, the line passes through the points (2,4) and (5,-2). When we plot these points on a graph and connect them with a straight line, we can see that it has a downward slope. Since the slope is negative, we can eliminate choices B, C, and D, which all have positive slopes. Additionally, we can use the slope formula (m = (y2-y1)/(x2-x1)) to calculate the slope of this line. Plugging in the coordinates from our points, we get (4-(-2))/(2-5) = 6/-3 = -2. Therefore, the