document.write( "Question 197345: Hello!\r
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document.write( "Find an equation of the line that satisfies the given conditions.
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document.write( "through (10, 2); perpendicular to the line x - 4y + 4 = 0 \r
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document.write( "thanks! \n" );
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Algebra.Com's Answer #147960 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find an equation of the line that satisfies the given conditions. \n" ); document.write( "through (10, 2); perpendicular to the line x - 4y + 4 = 0 \n" ); document.write( "------------------------------------- \n" ); document.write( "1st: Find the slope of the given line. \n" ); document.write( "x - 4y +4 = 0 \n" ); document.write( "4y = x+4 \n" ); document.write( "y = (1/4)x + 1 \n" ); document.write( "slope = 1/4 \n" ); document.write( "------------------------- \n" ); document.write( "2nd: The slope of all lines that are perpendicular \n" ); document.write( "to the given line is -4. \n" ); document.write( "------------------------- \n" ); document.write( "3rd: Find the equation of the perpendicular line: \n" ); document.write( "Form y = mx+b \n" ); document.write( "You know y = 2 when x = 10, and you know m = -4 \n" ); document.write( "Solve for \"b\". \n" ); document.write( "2 = -4*10 + b \n" ); document.write( "b = 42 \n" ); document.write( "--------------------- \n" ); document.write( "Equation: \n" ); document.write( "y = -4x + 42 \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |