document.write( "Question 1172069: What is the equation of the line that passes through the point (-1,4) and has a slope of -5?
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Algebra.Com's Answer #796992 by ikleyn(52776)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "In the most general case, the line, which has the slope \"m\" and goes through the point (a,b), has an equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " y - b = m*(x-a).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In your case, m= -5, a= -1, b= 4, so the line has an equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " y - 4 = (-5)*(x-(-1)), or\r\n" ); document.write( "\r\n" ); document.write( " y - 4 = -5x - 5, or\r\n" ); document.write( "\r\n" ); document.write( " y = -5x - 1\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "or any other equivalent equation.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As a bonus for you, consider the lessons in this site\r \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 \n" ); document.write( "\n" ); document.write( "that are closely related to your problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You have a happy and rare opportunity to learn the subject from these lessons, written in compact and clear form.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Consider them as your textbook, handbook, guidebook, tutorials and (free of charge) home teacher.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |