Determine the equation of the line parallel to 3x - 2y + 4 = 0 and passing through (1,6)

Tia English 2022-10-03 Answered
Determine the equation of the line parallel to 3x - 2y + 4 = 0 and passing through (1,6)
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Answers (2)

typeOccutfg
Answered 2022-10-04 Author has 6 answers
Recall that the eqn. of a line parallel to the given line
l 1 : a x + b y + c = 0 is of the Form l 2 : a x + b y + c = 0 , c c .
If we compare the slopes of the lines l 1 and l 2 , we will find that
the result is quite obvious. If, in addition, #(x_0,y_0) in l_2, then,
a x 0 + b y 0 + c = 0 , giving, c = - a x 0 - b y 0 .
l 2 : a x + b y = a x 0 + b y 0 .
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kasibug1v
Answered 2022-10-05 Author has 4 answers
Accordingly, the eqn. of the reqd. line is given by,
3 x - 2 y = 3 ( 1 ) - 2 ( 6 ) 3 x - 2 y + 9 = 0 .
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