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What is the slope of the line that’s parallel to the line whose equation is 2x+y=4
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What is the slope of the line that’s parallel to the line whose equation is 2x+y=4

What is the slope of the line that’s parallel to the line whose equation is 2x+y=4-example-1
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\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\\text{Convert the equation to the slope-intercept form}\ y=mx+b.\\\\2x+y=4\qquad\text{subtract 2x from both sides}\\\\y=-2x+4\to m_1=-2\\\\Amswer:\ \boxed{slope=-2}

User Szeiger
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