document.write( "Question 387625: Write the slope-intercept equation for the line that passes through (10, 12) and is perpendicular to 5x + 8y = 1 Please show all of your work.
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Algebra.Com's Answer #274036 by nerdybill(7384)\"\" \"About 
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Write the slope-intercept equation for the line that passes through (10, 12) and is perpendicular to 5x + 8y = 1
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\n" ); document.write( "Determine slope of:
\n" ); document.write( "5x + 8y = 1
\n" ); document.write( "8y = -5x + 1
\n" ); document.write( "y = (-5/8)x + 1/8
\n" ); document.write( "Slope is -5/8
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\n" ); document.write( "New line, since it is perpendicular must have a slope that is the \"negative reciprocal\": 8/5
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\n" ); document.write( "plug slope and given point into \"point-slope\" form:
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - 12 = (8/5)(x - 10)
\n" ); document.write( "y - 12 = (8/5)x - 16
\n" ); document.write( "y = (8/5)x - 4 (this is what they're looking for)\r
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