document.write( "Question 126456: 2y=x+4 Graph \n" ); document.write( "
Algebra.Com's Answer #92645 by bucky(2189)\"\" \"About 
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A quick way to graph this is to first set y equal to zero and solve for x. When you get that
\n" ); document.write( "answer for x, it will be on the x-axis because any point on the x-axis has zero for its
\n" ); document.write( "corresponding value of y.
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\n" ); document.write( "Then you next set x equal to zero and solve for y. The value you get for y will be on the y-axis
\n" ); document.write( "because any point on the y-axis has zero as its corresponding x value.
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\n" ); document.write( "You then have two points on the graph ... a point on the x-axis and a point on the y-axis. You
\n" ); document.write( "can then extend a straight line through these two points and you have the graph.
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\n" ); document.write( "Let's do it. Start with the given equation 2y = x + 4
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\n" ); document.write( "Set y = 0 and this equation becomes:
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\n" ); document.write( "0 = x + 4
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\n" ); document.write( "Solve for x by subtracting 4 from both sides to get:
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\n" ); document.write( "-4 = x
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\n" ); document.write( "Mark the point -4 on the x-axis.
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\n" ); document.write( "Then set x = 0 and the equation you were given and the equation becomes:
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\n" ); document.write( "2y = 0 + 4
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\n" ); document.write( "Solve for y by dividing both sides by 2 to get:
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\n" ); document.write( "y = +2
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\n" ); document.write( "Mark the point +2 on the y-axis
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\n" ); document.write( "Draw a straight line through these two points and you should have a graph that looks like this:
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\n" ); document.write( "\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28x%2B4%29%2F2%29\"
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\n" ); document.write( "You should check at least one other point on the graph just to make sure that you didn't
\n" ); document.write( "make a mistake in calculating one of the points. For example, let's just choose x = +3
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\n" ); document.write( "Substitute +4 for x in the given equation and it becomes:
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\n" ); document.write( "2y = 4 + 4
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\n" ); document.write( "Solve for y and you get
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\n" ); document.write( "2y = 8
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\n" ); document.write( "y = 8/2 = 4
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\n" ); document.write( "So you have determined that when x = 4, then y = 4. Go to 4 on the x-axis, and go up 4 units
\n" ); document.write( "in the y direction to see if that point (4,4) is on the graph. It appears to be, so the graph
\n" ); document.write( "is likely to be correct. You can try a couple of other values for x if you would like and
\n" ); document.write( "see it the (x, y) points you get are also on the graph ... just to verify that your first
\n" ); document.write( "two points on the x and y-axes were correct.
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\n" ); document.write( "Hope this helps you to understand the problem and how to work it.
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