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What is the area enclosed by the lines 3x - 2y = 6 and the x and y axes.

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xetatheta | Student, Kindergarten | Salutatorian

Posted September 23, 2013 at 2:56 AM via web

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What is the area enclosed by the lines 3x - 2y = 6 and the x and y axes.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 23, 2013 at 3:00 AM (Answer #1)

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The x and y axes are perpendicular to each other. The line 3x - 2y = 6 can be written in the intercept-intercept form as x/2 - y/3 = 1.

The line intersects the x-axis at (2, 0) and the y-axis at (0, -3). The area enclosed by the line and the axes is (1/2)*2*3 = 3.

The area enclosed by the line 3x - 2y = 6 and the x and y axes is 3 square units.

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