document.write( "Question 95215: I need to find the slope of a line parallel to y=2x-5 \n" ); document.write( "
Algebra.Com's Answer #69298 by bucky(2189)\"\" \"About 
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The slope-intercept form of an equation is:
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\n" ); document.write( "y = mx + b
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\n" ); document.write( "in which m (the multiplier of x) is the slope of the graph and b is the value on the y-axis
\n" ); document.write( "where the graph crosses the y-axis.
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\n" ); document.write( "You are given the equation:
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\n" ); document.write( "y = 2x - 5
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\n" ); document.write( "Notice that this is in the form of the slope-intercept arrangement. By comparing the given
\n" ); document.write( "equation with the slope-intercept form, you can see that the slope (m ... the multiplier
\n" ); document.write( "of x) is 2 and the point b where the graph crosses the y-axis is -5.
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\n" ); document.write( "Now all you need to know is that a line that is parallel to this graph will have the same
\n" ); document.write( "slope, but it will have a different value for b.
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\n" ); document.write( "For example:
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\n" ); document.write( "y = 2x + 6
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\n" ); document.write( "also has a slope (the multiplier of the x) of 2 but it has +6 on the y-axis as the point
\n" ); document.write( "where it crosses the y-axis.
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\n" ); document.write( "Let's look at the graphs of these two equations:
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\n" ); document.write( "\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2x-5%2C2x%2B6%29\"
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\n" ); document.write( "The \"brownish\" line is the graph of the equation given in the problem, and the green line
\n" ); document.write( "is the graph of the equation we wrote as an example ... it has the same slope but crosses
\n" ); document.write( "the y-axis at +6. Notice how the two lines look to be parallel because they have the same
\n" ); document.write( "slope or slant.
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\n" ); document.write( "Hope this helps you to understand the problem and clarifies how parallel lines have the
\n" ); document.write( "same slope.
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