document.write( "Question 4037: A line has a y-intercept of (0,2) and is perpendicular to the line with equation 2x-3y=6. Write the equation of the line. \n" ); document.write( "
Algebra.Com's Answer #1771 by Earlsdon(6294)\"\" \"About 
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Your answer can be written in the slope-intercept form of the equation for a line: y = mx + b\r
\n" ); document.write( "\n" ); document.write( "So you need to find the slope, m, and the y-intercept, b.\r
\n" ); document.write( "\n" ); document.write( "The y-intercept is given as 2.\r
\n" ); document.write( "\n" ); document.write( "You can get the slope from the given line to which your new line is perpendicular.\r
\n" ); document.write( "\n" ); document.write( "Perpendicular lines have slopes that are the negative reciprocal of each other.\r
\n" ); document.write( "\n" ); document.write( "The slope of the given line can be found by re-writing the equation (2x-3y=6)in the slope-intercept form: y = mx + b\r
\n" ); document.write( "\n" ); document.write( "2x - 3y = 6 Add 3y to both sides.
\n" ); document.write( "2x = 3y + 6 Subtract 6 from both sides.
\n" ); document.write( "2x - 6 = 3y Divide both sides by 3.
\n" ); document.write( "(2/3)x - 2 = y or y = (2/3)x - 2 Compare with: y = mx + b: m = 2/3\r
\n" ); document.write( "\n" ); document.write( "The negative reciprocal of 2/3 is -3/2\r
\n" ); document.write( "\n" ); document.write( "The equation of the new line is: y = -(3/2)x + 2
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