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Coordinate geometry

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Coordinate geometry

by taneja.niks » Fri Sep 24, 2010 11:07 am
In the rectangular coordinate system which quadrant, if any, contains no point ( x, y ) that satisfies the inequality
2x-3y ≤ -6


(A) None
(B) Ι
(C) ΙI
(D) ΙII
(E) IV

OA:- E

Please explain ur answer.........
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by tlt2372 » Fri Sep 24, 2010 11:15 am
Quadrant 4

Rearrange the inequality into slope intercept form.

y =mx +b

y>= 2/3x+2

2 is the intercept on the y axis. From that point travel up the y axis 2 units and over to the right 3 units. Connect the points. The line does not intersect Quadrant 4 at all. Moreover, the inequality tells us that y is 'greater than', reinforcing that the inequality does not enter the IV quadrant.
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