document.write( "Question 1012913: Find the area of the region bounded by the x and y axes and the line 2x-3y +7=0. \n" ); document.write( "

Algebra.Com's Answer #629022 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "2x-3y +7=0
\n" ); document.write( "Find the x and y intercepts:
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\n" ); document.write( "Let y=0:
\n" ); document.write( "2x-3(0)+7=0
\n" ); document.write( "2x+7=0
\n" ); document.write( "2x=-7
\n" ); document.write( "x=-7/2
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\n" ); document.write( "Let x=0:
\n" ); document.write( "2(0)-3y+7=0
\n" ); document.write( "-3y=-7
\n" ); document.write( "y=7/3
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\n" ); document.write( "The region is a right triangle with Base=7/2 and height=7/3
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\n" ); document.write( " $\"+graph%28+800%2C+800%2C+-5%2C+5%2C+-5%2C+5%2C+%282%2F3%29x%2B%287%2F3%29%29+\"$
\n" ); document.write( ".
\n" ); document.write( "Area=(1/2)(b)(h)
\n" ); document.write( "Area=(1/2)(7/2)(7/3)
\n" ); document.write( "Area=49/12
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\n" ); document.write( "ANSWER: The area of the region is 49/12 square units.
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