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Write an equation for the line parallel to y = –2x – 5 that contains P(–8, 4).

Sagot :

[tex]k:y=-2x-5\\\\l:y=mx+b\\\\k\ ||\ l\iff m=-2\\\\l:y=-2x+b;\ P(-8;\ 4)\\\\-2\cdot(-8)+b=4\\16+b=4\\b=4-16\\b=-12\\\\Answer:y=-2x-12[/tex]
Kate200468idn
[tex]k:\ y = -2x -5 \ \ \ and\ \ \ l:\ y=mx+b\\\\k\ ||\ l\ \ \ \Leftrightarrow\ \ \ m=-2\ \ \ l:\ y=-2x+b\\\\ P(-8, 4)\ \in\ l\ \ \ \Leftrightarrow\ \ \ 4=-2\cdot(-8)+b\\\\\ \ \ \Leftrightarrow\ \ \ 4=16+b\ \ \ \Leftrightarrow\ \ \ b=-12\ \ \ \Rightarrow\ \ \ l:\ y=-2x-12[/tex]
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