Question

Write an equation for the line parallel to the given line that contains C.

C(-2,6); y=7/9x+2
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Answer 1

`if \: l_(1) \parallel \: l_(2) \Rightarrow \:m_(1) = m_(2) = (7)/(9) \\ m = (y-y_(1) )/(x - x_(1)) \\ (7)/(9) = (y - 6)/(x - ( - 2)) \\ y - 6 = (7)/(9)(x + 2) \\ y = (7)/(9)x + (7)/(9)(2) + 6 \\ y = (7)/(9)x +( (14)/(9) + 6) \\ y = (7)/(9)x +(68)/(9) \\ \\ method \: 2 \\ \\ y = mx + c \\ 6 = (7)/(9)( - 2) + c \\ c = (14)/(9) + 6 = (68)/(9) \\ y = (7)/(9)x +(68)/(9)`