document.write( "Question 1136195: Find an equation of a line perpendicular to the given line that contains the given point. Write the equation in slope-intercept form. (If the equation is a vertical line, use the form x = a.) \r
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Algebra.Com's Answer #753953 by ikleyn(52875) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Any line perpendicular to the given line  5x - 4y = 6  has an equation\r\n" );
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document.write( "     5y + 4x = c,    (1)\r\n" );
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document.write( "where \"c\" is a constant term.\r\n" );
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document.write( "Since a line (1) should contain the point (-4,3), equation (1) must be true when you substitute\r\n" );
document.write( "the coordinates of the point x= -4  and  y= 3 into the equation.\r\n" );
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document.write( "By doing it, you determine the value of \"c\" \r\n" );
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document.write( "    5*3 + 4*(-4) = c = 15 - 16 = -1.\r\n" );
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document.write( "Therefore, your equation (1) takes the form\r\n" );
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document.write( "        5y + 4x = -1.\r\n" );
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document.write( "In the slope-intercept form, it is\r\n" );
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document.write( "         y = .\r\n" );
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document.write( "It is your final answer\r\n" );
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document.write( "    \r\n" );
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document.write( "    Plot y = 5x - 4y = 6 (red)  and  y =  (green)\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is a group of closely related lessons in this site \r
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\n" ); document.write( "\n" ); document.write( "    - Find the slope of a straight line in a coordinate plane passing through two given points\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line having a given slope and passing through a given point\r
\n" ); document.write( "\n" ); document.write( "    - Solving problems related to the slope of a straight line\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line in a coordinate plane passing through two given points\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line parallel to a given line and passing through a given point\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line perpendicular to a given line and passing through a given point \r
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\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons related to the slope of a straight line \r
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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.\r
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