document.write( "Question 1108962: What is the equation of the line that is parallel to y=2x-7 and passes through (5, -1) \n" ); document.write( "
Algebra.Com's Answer #723978 by ikleyn(52835)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "What is the equation of the line that is parallel to y = 2x-7 and passes through (5, -1) \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The given line has the slope of 2.\r\n" ); document.write( "\r\n" ); document.write( "Since the projected/requested line is parallel to the given line, it also has the slope of 2.\r\n" ); document.write( "\r\n" ); document.write( "Hence, the projected/requested line has an equation of the form y = 2x + b with unknown coefficient \"b\".\r\n" ); document.write( "\r\n" ); document.write( "To find \"b\", simply substitute the coordinates of the given point p and q as x and y respectively into this equation y = 2x + b. \r\n" ); document.write( "\r\n" ); document.write( "You will get\r\n" ); document.write( "\r\n" ); document.write( " -1 = 2*5 + b,\r\n" ); document.write( "\r\n" ); document.write( "which implies b = -1 - 2*5 = -1 - 10 = -11.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus your final equation of the projected/requested straight line in slope-intercept form is \r\n" ); document.write( "\r\n" ); document.write( "y = 2x - 11.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "---------------- \n" ); document.write( "You have the lesson\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( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From this lesson, learn the subject once for all.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |