You can put this solution on YOUR website! The slope-intercept form of an equation is:
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y = mx + b
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in which m (the multiplier of x) is the slope of the graph and b is the value on the y-axis
where the graph crosses the y-axis.
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You are given the equation:
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y = 2x - 5
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Notice that this is in the form of the slope-intercept arrangement. By comparing the given
equation with the slope-intercept form, you can see that the slope (m ... the multiplier
of x) is 2 and the point b where the graph crosses the y-axis is -5.
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Now all you need to know is that a line that is parallel to this graph will have the same
slope, but it will have a different value for b.
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For example:
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y = 2x + 6
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also has a slope (the multiplier of the x) of 2 but it has +6 on the y-axis as the point
where it crosses the y-axis.
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Let's look at the graphs of these two equations:
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The "brownish" line is the graph of the equation given in the problem, and the green line
is the graph of the equation we wrote as an example ... it has the same slope but crosses
the y-axis at +6. Notice how the two lines look to be parallel because they have the same
slope or slant.
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Hope this helps you to understand the problem and clarifies how parallel lines have the
same slope.
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