document.write( "Question 508812: write an equation in slope intercept form which is perpendicular to the line y= -3x+0, and goes through the midpoint (-1/2, 3/2). \n" ); document.write( "

Algebra.Com's Answer #341124 by oberobic(2304) $\"\"$ $\"About$

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y = -3x
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\n" ); document.write( "The slope is -3.
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\n" ); document.write( "The slope of a perpendicular line is the inverse reciprocal: 1/3.
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\n" ); document.write( "So, the equation is
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\n" ); document.write( "y = 1/3x + b
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\n" ); document.write( "To find 'b' we can use the point we want the line to go through.
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\n" ); document.write( "(-1/2,3/2) = (x, y)
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\n" ); document.write( "3/2 = 1/3(-1/2) + b
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\n" ); document.write( "3/2 = -1/6 + b
\n" ); document.write( "b = 9/6 + 1/6
\n" ); document.write( "b = 10/6
\n" ); document.write( "b = 5/3
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\n" ); document.write( "y = 1/3x + 5/3
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\n" ); document.write( "The following graph shows the y = -3x in red and y = 1/3x+5/3 in green
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\n" ); document.write( " $\"graph%28500%2C500%2C-6%2C6%2C-6%2C6%2C-3%2Ax%2C1%2F3%2Ax%2B5%2F3%29\"$ \n" ); document.write( "

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