document.write( "Question 407657: write an equation in slope-intercept form of the line satisfying the following conditions:
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document.write( "through (3,6); perpendicular to x=4 \n" );
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Algebra.Com's Answer #287321 by graphmatics(170)![]() ![]() You can put this solution on YOUR website! The Line equation is y-y1 = m*(x-x1) where m is the slope of the line. \n" ); document.write( "As line is perpendicular to a line with slope m if its slope is 1/m. \n" ); document.write( "So for a point (x,y) on the line m = (y-y1)/(x-x1). \n" ); document.write( "if x = 4 for a line then m = (y-y1)/(4-4) = infinity. \n" ); document.write( "the perpendicular has a slope of 1/infinity or 0. \n" ); document.write( "so the equation of the line in question is \n" ); document.write( " y-6 = 0*(x-3) \n" ); document.write( " y-6 = 0 \n" ); document.write( " y = 6 \n" ); document.write( " \n" ); document.write( " |