document.write( "Question 755509: A line is perpendicular to the line y=2x +3 and has the same x-intercept as x+3y+10=0
\n" ); document.write( "Find the equation of this line. Express your answer in the form y=mx+b \n" ); document.write( "
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A line is perpendicular to the line y=2x +3 and has the same x-intercept as x+3y+10=0
\n" ); document.write( "Find the equation of this line. Express your answer in the form y=mx+b\r
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\n" ); document.write( "\n" ); document.write( "To make things similar, let's change x+3y+10=0 to y=mx+b form:\r
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\n" ); document.write( "\n" ); document.write( "x+3y=-10\r
\n" ); document.write( "\n" ); document.write( "3y=-x-10\r
\n" ); document.write( "\n" ); document.write( "y=-x/3-10/3\r
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\n" ); document.write( "\n" ); document.write( "Now we want the line to be perpendicular to y=2x+3. Perpendicular lines have negative reciprocol slopes of each other. So for the line we want, the slope has to be -1/2. We also know that the y intercept has to be -10/3 since that is what it told us. So the equation should be:\r
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\n" ); document.write( "\n" ); document.write( "y=-1/2x-10/3\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps! \n" ); document.write( "
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