document.write( "Question 130015: Draw a graph of y=2x for x-values from 0 to 5 (< x > 5)
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document.write( "could you please explain how to get the answer so I can continue with the rest of the page \n" );
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Algebra.Com's Answer #94973 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! First graph the given equation y = 2x \n" ); document.write( ". \n" ); document.write( "This equation is in the slope intercept form y = mx + b in which m (the multiplier of x) is \n" ); document.write( "the slope of the line and b the constant is the value on the y-axis where the graph intersects \n" ); document.write( "(crosses) the y-axis. \n" ); document.write( ". \n" ); document.write( "By comparing the given equation with the slope intercept form you can tell that the graph \n" ); document.write( "should have a slope of 2 because 2 is the multiplier of x. The constant b must equal zero \n" ); document.write( "because there is no constant on the right side of the given equation. This tells you that the \n" ); document.write( "graph crosses the y-axis at the origin because the y value at the origin is zero. \n" ); document.write( ". \n" ); document.write( "So you know the graph crosses through the origin and has a slope of 2. You can also use \n" ); document.write( "some points to determine the graph. For example, you can let x = 10. Plug this value for \n" ); document.write( "x into the given equation to find the corresponding value of y and you get: \n" ); document.write( ". \n" ); document.write( "y = 2x = 2(10) = 20 \n" ); document.write( ". \n" ); document.write( "With x = 10 and the corresponding value of y = 20, you can mark the point (10,20) and \n" ); document.write( "it will be on the graph. Put a straight edge on the origin and the point (10, 20) and \n" ); document.write( "extend a line through those two points. That is the graph and it should look like this: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "But the problem tells you that you are only interested in that portion of the graph where \n" ); document.write( "x has values from 0 to +5. Go along the x axis to the value +5. Draw a vertical line through \n" ); document.write( "+5 to the point where it intersects the graph. (That point will be (5,10)). Erase the \n" ); document.write( "part of the graph that is to the right of that vertical line. Then go back to the origin \n" ); document.write( "where the value of x is zero. Erase all of the graph that lies to the left of that point \n" ); document.write( "(that is erase that part of the graph that is in the third quadrant ... left of the y-axis. \n" ); document.write( ". \n" ); document.write( "What you have left is a graph that starts at the origin and goes to the point (5,10) and \n" ); document.write( "that's it. That should be what you are looking for. \n" ); document.write( ". \n" ); document.write( " |