document.write( "Question 782057: An equation of the line passing through (3,4) and perpendicular to y=7x+8 is \n" ); document.write( "
Algebra.Com's Answer #476251 by algebrahouse.com(1659)\"\" \"About 
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Slope-intercept form is y = mx + b
\n" ); document.write( "m is the slope
\n" ); document.write( "b is the y-intercept\r
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\n" ); document.write( "\n" ); document.write( "In the line y = 7x + 8
\n" ); document.write( "slope = 7\r
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\n" ); document.write( "\n" ); document.write( "Perpendicular lines have slopes which are negative reciprocals.\r
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\n" ); document.write( "\n" ); document.write( "Perpendicular slope is -1/7\r
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\n" ); document.write( "\n" ); document.write( "On the new line,
\n" ); document.write( "slope = -1/7 and the given point is (3,4)\r
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\n" ); document.write( "\n" ); document.write( "y - y1 = m(x - x1) {point-slope form}
\n" ); document.write( "y - 4 = (-1/7)(x - 3) {substituted into point-slope form}
\n" ); document.write( "y - 4 = (-1/7)x + 3/7 {used distributive property}
\n" ); document.write( "y = (-1/7)x + 31/7 {added 4 to each side}
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