Yes.. See related link for an example.
Y = - 2X - 3 Plot this and see that a line with a negative slope can go through quadrant III.
Well, honey, in quadrant 3, both the x and y coordinates are negative. So if a line passes through there, you bet your bottom dollar that the slope is gonna be negative. It's just basic math, darling.
There are four quadrants on a coordinate graph. They are labeled as Quadrant I, Quadrant II, Quadrant III, and Quadrant IV, each representing different combinations of positive and negative values for the x and y coordinates. Quadrant I has both coordinates positive, Quadrant II has a negative x and positive y, Quadrant III has both negative coordinates, and Quadrant IV has a positive x and negative y.
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.
Quadrants I and III. In Quadrant I, the values are both positive. In Quadrant III, the values are both negative.
The coordinate plane is divided into four sections known as quadrants. These are labeled as Quadrant I (top right), Quadrant II (top left), Quadrant III (bottom left), and Quadrant IV (bottom right). Each quadrant corresponds to a specific combination of positive and negative values for the x and y coordinates. Quadrant I has both coordinates positive, Quadrant II has a negative x and a positive y, Quadrant III has both negative, and Quadrant IV has a positive x and a negative y.
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Quadrant I: Top Right: x positive, y positive Quadrant II: Top Left: x negative, y positive Quadrant III: Bottom Left: x negative, y negative Quadrant IV: Bottom Right: x positive, y negative
The quadrants where the x-coordinates and y-coordinates have the same sign are Quadrant I and Quadrant III. In Quadrant I, both x and y are positive, while in Quadrant III, both x and y are negative.
The top left quadrant is II (2) (x is negative, y is positive) The top right quadrant is I (1) (x is positive, y is positive) The bottom left quadrant is III (3) (x is negative, y is negative) The bottom right quadrant is IV (4) (x is positive, y is negative)