document.write( "Question 1199205: find the missing value of the line that passes through (R,2) and (5,3) and has a slope of 1/2
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Algebra.Com's Answer #832972 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A visual approach:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plot the point (5,3) on the xy grid.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The slope 1/2 tells us to \"go up 1, then to the right 2 units\". \n" ); document.write( "This is because: \n" ); document.write( "slope = rise/run = 1/2 \n" ); document.write( "rise = 1 = go up 1 \n" ); document.write( "run = 2 = go to the right 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we started at (5,3) and did the \"up 1, right 2\" movement pattern, then we'll arrive at (7,4). See the graph below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But we want the y coordinate to be 2 instead of 4. I'm referencing the point (R,2).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's reverse the \"up 1, right 2\" process. \n" ); document.write( "Instead we'll follow \"down 1, left 2\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Again we start at the anchor (5,3). \n" ); document.write( "Move down 1, left 2 to arrive at (3, 2) which shows that R = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Graph: \n" ); document.write( " \n" ); document.write( "The green line represents the linear equation y = 0.5x+0.5 \n" ); document.write( "1/2 = 0.5 \n" ); document.write( " \n" ); document.write( " |