document.write( "Question 463095: Write the slope-intercept equation for the line that passes through (14, -2) and is perpendicular to 7x – 10y = 18 \n" ); document.write( "
Algebra.Com's Answer #317345 by alicealc(293)\"\" \"About 
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7x - 10y = 18
\n" ); document.write( "-10y = -7x + 18
\n" ); document.write( "divide all by -10
\n" ); document.write( "y = 7/10 x - 18/10
\n" ); document.write( "the slope of this equation is 7/10\r
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\n" ); document.write( "\n" ); document.write( "if 2 lines are perpendicular then
\n" ); document.write( "slope 1 * slope 2 = -1
\n" ); document.write( "7/10 * slope 2 = -1
\n" ); document.write( "slope 2 = -1 * 10/7 = -10/7\r
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\n" ); document.write( "\n" ); document.write( "line equation for the line with slope m and passes through (x1, y1):
\n" ); document.write( "y - y1 = m*(x - x1)\r
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\n" ); document.write( "\n" ); document.write( "m = -10/7
\n" ); document.write( "x1 = 14
\n" ); document.write( "y1 = -2
\n" ); document.write( "y - (-2) = -10/7 * (x - 14)
\n" ); document.write( "y + 2 = -10/7 x + 140/7
\n" ); document.write( "multiply all by 7:
\n" ); document.write( "7y + 14 = -10x + 140
\n" ); document.write( "10x + 7y + 14 - 140 = 0\r
\n" ); document.write( "\n" ); document.write( "so the equation will be:
\n" ); document.write( "10x + 7y - 126 = 0\r
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