document.write( "Question 1171060: Write the equation of the line that passes through the point (2,-1) and has a slope of -3 \n" ); document.write( "
Algebra.Com's Answer #795942 by ikleyn(52781)![]() ![]() 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= -3, a= 2, b= -1, so the line has an equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " y - (-1) = (-3)*(x-2), or\r\n" ); document.write( "\r\n" ); document.write( " y + 1 = -3x + 6, or\r\n" ); document.write( "\r\n" ); document.write( " y = -3x + 5\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( " |