Write an equation of a line going through (1/8,−1) and parallel to the line 8x−9y=6

ajumbaretu

ajumbaretu

Answered question

2022-11-11

Write an equation of a line going through ( 1 8 , 1 ) and parallel to the line 8x−9y=6

Answer & Explanation

lesinetzgl5

lesinetzgl5

Beginner2022-11-12Added 18 answers

Parallel lines have the same slope. So we can find the required slope from the equation of the given line.
Change it into the form y=mx+c
9 y = 8 x - 6
y = 8 9 x - 2 3 this gives us m = 8 9
You can use the formula: y - y 1 = m ( x - x 1 ) because we have a point ( 1 8 , - 1 ) and the slope m = 8 9
y - y 1 = m ( x - x 1 )
y - ( - 1 ) = 8 9 ( x - 1 8 )
y + 1 = 8 9 x - 1 9 [ 8 9 × 1 8 = 1 9 ]
y = 8 9 x - 1 1 9 [ - 1 - 1 9 = - 1 1 9 ]
As we expected, the slope of the new line is 8 9

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