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Can the slope of a line in quadrant III be negative?

Updated: 8/19/2019
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12y ago

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Yes.. See related link for an example.

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Q: Can the slope of a line in quadrant III be negative?
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Can a line with negative slope go though Quadrant III?

Y = - 2X - 3 Plot this and see that a line with a negative slope can go through quadrant III.


Is the slope of a line that passes through quadrant 3 supposed to be negative?

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What are the x and y for each quadrant on a graph?

Quadrant I: x positive, y positive. Quadrant II: x negative, y positive. Quadrant III: x negative, y negative. Quadrant II: x positive, y negative.


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The tangent function is equal to the sine divided by the cosine. In quadrant III, both sin and cos are negative - and a negative divided by another negative is positive. Thus it follows that the tangent is positive in QIII.


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-1560 Mod 360 = 4 | 120-120 degrees lies in quadrant III (negative x and negative y)


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