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

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Answered question

2022-10-03

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

Answer & Explanation

typeOccutfg

typeOccutfg

Beginner2022-10-04Added 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 .
kasibug1v

kasibug1v

Beginner2022-10-05Added 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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