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  3. [img]2015m7x/ct_egreqj_egreqjs_0084_20151[/img]The quadrants of the xy-plane ar

[img]2015m7x/ct_egreqj_egreqjs_0084_20151[/img]The quadrants of the xy-plane ar

游客2024-01-12  17
问题
The quadrants of the xy-plane are shown in the figure above. In the xy-plane, line m(not shown)has a positive slope and a positive x- intercept. Line m intersects which of the quadrants?
Indicate all such quadrants.
选项 A、Quadrant I
B、Quadrant II
C、Quadrant III
D、Quadrant IV
答案 A，C，D
解析 Since line m has a positive x-intercept, it must cross the x-axis to the right of the origin; and since the slope of line m is positive, the line must slant upward and to the right. Consequently, the line must have a negative y-intercept. The figure below shows a typical line that satisfies these conditions.

In the figure, the line intersects quadrants I, III, and IV. Thus the correct answer consists of Choices A, C, and D.
This explanation uses the following strategy.
Strategy 6: Add to a Geometric Figure
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