document.write( "Question 387400: the slope-intercept equation for the line that passes through (-8, -11) and is perpendicular to -2x – 7y = -14 \n" ); document.write( "
Algebra.Com's Answer #273925 by nerdybill(7384)\"\" \"About 
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the slope-intercept equation for the line that passes through (-8, -11) and is perpendicular to -2x – 7y = -14
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\n" ); document.write( "Determine slope of:
\n" ); document.write( "-2x – 7y = -14
\n" ); document.write( "–7y = 2x-14
\n" ); document.write( "y = (-2/7)x + 2
\n" ); document.write( "slope is -2/7
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\n" ); document.write( "A line perpendicular to above must have a slope that is a \"negative reciprocal\":
\n" ); document.write( "(-2/7)m = -1
\n" ); document.write( "m = 7/2
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\n" ); document.write( "plug given point and slope into \"point-slope\" form:
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - (-11) = (7/2)(x - (-8))
\n" ); document.write( "y + 11 = (7/2)(x + 8)
\n" ); document.write( "y + 11 = (7/2)x + 28
\n" ); document.write( "y = (7/2)x + 17 (this is what they're looking for)\r
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