2. 外语
  3. ANote that the slope of each of the lines is positive, since each line rises as it goes to the right. Since the slopes of both l

ANote that the slope of each of the lines is positive, since each line rises as it goes to the right. Since the slopes of both l

admin2014-08-12  5
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答案A
解析 Note that the slope of each of the lines is positive, since each line rises as it goes to the right. Since the slopes of both lines are positive and line k rises faster(or is steeper)than line t, line k has the greater slope, and the correct answer is Choice A.
    You can also use the definition of the slope to arrive at the correct answer. Slope can be defined as the ratio of "rise" to "run" between any two points on a line, where the rise is the vertical distance between the points and the run is the horizontal distance, and the slope is respectively positive or negative depending on whether the line rises or falls when viewed from left to right. Because both lines pass through point P on the y-axis, they have the same rise from P to the x-axis. However, line t intersects the X-axis at a greater value than line k. Thus, the run of line l from the y-axis to the x-intercept is greater than the run of line k. When the slope is expressed as a ratio, both lines have the same numerator(rise), but line l has a greater denominator(run). The greater denominator results in a lesser fraction and a lesser slope for line l. Therefore, the correct answer is Choice A.
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