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A straight line πΏ has the equation π¦ equals negative two π₯ minus three.
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Find the equation of the line parallel to πΏ that passes through the point one, three.
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Parallel lines will have have the exact same slope, so the line πΏ has a slope of negative two.
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That means the parallel line to πΏ will also have to have a slope of negative two.
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And we also know that that parallel line needs to go through the point one, three.
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So we have the slope and we have a point that it should go through.
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So we can actually use the point slope formula and this will help us find the equation of this line.
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So the point one, three will be substituted in for π₯ one and π¦ one.
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And negative two will be substituted in for m.
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So we have π¦ minus three equals negative two times π₯ minus one.
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Now we need to put it in the form π¦ equals ππ₯ plus π, so we need to isolate π¦.
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So first on the right-hand side, letβs use the distributive property.
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π¦ minus three equals negative two π₯ plus two.
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And then to solve for π¦, we need to add three to both sides and doing so we get the equation π¦ equals negative two π₯ plus five.
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This would be the line thatβs parallel to πΏ that passes through the point one, three.