document.write( "Question 159762: Write an equation of each line. Write the equation in the form y=mx+b
\n" ); document.write( "Through (-2.-3) perpendicular to 2x-3y=1
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Algebra.Com's Answer #117816 by Alan3354(69443)\"\" \"About 
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Write an equation of each line. Write the equation in the form y=mx+b
\n" ); document.write( "Through (-2.-3) perpendicular to 2x-3y=1
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\n" ); document.write( "First find the slope of the eqn by putting it into the slope-intercept form.
\n" ); document.write( "2x-3y = 1
\n" ); document.write( "-3y = 1 - 2x
\n" ); document.write( "y = (2/3)x - 1/3
\n" ); document.write( "The slope m = 2/3
\n" ); document.write( "A line perpendicular has a slope that's the negative inverse, or -3/2.
\n" ); document.write( "Then use the slope intercept eqn to find the formula:
\n" ); document.write( "y-y1 = m*(x-x1)
\n" ); document.write( "y-(-3) = (-3/2)*(x - (-2))
\n" ); document.write( "y+3 = (-3/2)x + 3
\n" ); document.write( "y = -3x/2 slope-intercept form
\n" ); document.write( "3x + 2y = 0 standard form\r
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