Write an equation of a line through (3,3) and parallel to y= 2/3x -1

albamarronpe

albamarronpe

Answered question

2022-10-08

Write an equation of a line through (3,3) and parallel to y= 2/3x -1

Answer & Explanation

Bleha7s

Bleha7s

Beginner2022-10-09Added 11 answers

Our reference line is: y = 2 3 x - 1
Hence the slope of the reference line is: 2 3
Any straight line parallel to the reference line will have a slope of 2 3
We are asked to find the equation of the line parallel to the reference line passing through the point (3,3).
The equation of a straight line passing through point (x1,y1) is:
( y - y 1 ) = m ( x - x 1 ) where m is the slope of the line.
Hence the equation of our required line will be:
( y - 3 ) = 2 3 ( x - 3 )
3 ( y - 3 ) = 2 ( x - 3 )
3 y - 9 = 2 x - 6
3 y = 2 x + 3
y = 2 3 x + 1

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