document.write( "Question 568540: write an equation that describes the line that passes through [-3,1] and is parallel to the line described by y= 4x + 1 ? \n" ); document.write( "
Algebra.Com's Answer #367030 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! The line we want will need to have the same slope as the given line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The slope of the given line is the coefficient of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "What is the slope?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The slope is 4. Do you see it in your equation?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We now use the point-slope formula y - y1 = m(x - x1).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "NOTE: y1 is read \"y sub 1\" and x1 is read \"x sub one\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We plug the given point and slope into the formula to find a line parallel to the given line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let y1 = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x1 = -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let m = slope = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We now plug and chug.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 1 = 4(x -(-3))\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 1 = 4(x + 3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 1 = 4x + 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 4x + 12 + 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 4x + 13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Did you follow? \n" ); document.write( " \n" ); document.write( " |