document.write( "Question 945106: I need help with solving this problem (-6,7) perpendicular to -3x+4y=-23.I have to write it in slope-intercept form. \n" ); document.write( "
Algebra.Com's Answer #576281 by nerdybill(7384)\"\" \"About 
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I need help with solving this problem (-6,7) perpendicular to -3x+4y=-23.I have to write it in slope-intercept form.
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\n" ); document.write( "first, we need to find the slope of:
\n" ); document.write( "-3x+4y=-23
\n" ); document.write( "do this by putting it into the \"slope-intercept\" form:
\n" ); document.write( "-3x+4y=-23
\n" ); document.write( "4y=3x-23
\n" ); document.write( "y=(3/4)x - 23/4
\n" ); document.write( "slope is 3/4
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\n" ); document.write( "new slope, for the new line to be perpendicular, must have a slope that is the \"negative reciprocal\" of the above or:
\n" ); document.write( "(3/4)m = -1
\n" ); document.write( "m = -4/3 (new slope)
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\n" ); document.write( "Now we have slope -4/3 and one point (-6,7)
\n" ); document.write( "plug above into \"point-slope\" form:
\n" ); document.write( "y - y1 = m(x-x1)
\n" ); document.write( "y - 7 = (-4/3)(x- -6)
\n" ); document.write( "y - 7 = (-4/3)(x+6)
\n" ); document.write( "y - 7 = (-4/3)x +(-4/3)6
\n" ); document.write( "y - 7 = (-4/3)x +(-4)2
\n" ); document.write( "y - 7 = (-4/3)x - 8
\n" ); document.write( "y = (-4/3)x - 8+7
\n" ); document.write( "y = (-4/3)x - 1 (answer in \"slope-intercept\" form)\r
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