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blagie [28]
3 years ago
6

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

Mathematics
1 answer:
Gelneren [198K]3 years ago
6 0

\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}

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1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

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