document.write( "Question 1110743: Question: Graph the lines x=0, x=6, y=0 and y=x+4. Find the area of the quadrilateral formed.\r
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document.write( "I'm clear on graphing x=0, x=6 and y=0. I'm also clear on how to find the area.\r
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document.write( "For whatever reason I'm having trouble understanding the graphing of y=x+4. I know that y=x+4 is a diagonal that goes though (0, 4) & (6, 10) - (i have the the graph that has been solved by another party, without explanation). Please explain how I get the diagonal that passes though points (0, 4) & (6, 10)?\r
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document.write( "Thanks \n" );
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Algebra.Com's Answer #725759 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! \n" ); document.write( "The letters x and y are simply placeholders for numbers. When we say x+4 we mean \"some number plus 4\". So for example, we can replace x with 0 to go from x+4 to 0+4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we do so, then we will have... \n" ); document.write( "y = x+4 \n" ); document.write( "y = 0+4 \n" ); document.write( "y = 4 \n" ); document.write( "So x = 0 pairs up with y = 4. They form the ordered pair (0,4) \n" ); document.write( "The term \"point\" is a shorter term for \"ordered pair\" \n" ); document.write( "The first value is the x value; the second coordinate is the y value \n" ); document.write( "All ordered pairs or points are of the form (x,y)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we replaced x with 6, then we would have y equal to... \n" ); document.write( "y = x+4 \n" ); document.write( "y = 6+4 \n" ); document.write( "y = 10 \n" ); document.write( "So another ordered pair is (6,10)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now plot the two points (0,4) and (6,10). \n" ); document.write( "They are marked as point A and point B respectively \n" ); document.write( " ![]() \n" ); document.write( "The point (0,4) is the y intercept as it is on the y axis. We get to this point by moving 4 units up from the origin \n" ); document.write( "The point (6,10) is located by starting at the origin, then moving 6 units to the right and finally 10 units up.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then draw a straight line through those two points. This line extends infinitely in both directions \n" ); document.write( " ![]() \n" ); document.write( "Notes: \n" ); document.write( "The slope of y = x+4 is 1 because y = x+4 is the same as y = 1x+4. It is in the form y = mx+b where m is the slope \n" ); document.write( "The y intercept is b = 4 which is where the red graph crosses the vertical y axis. \n" ); document.write( " \n" ); document.write( " |