Find the y-intercept of the line that is parallel to 2x + 3y = 4 and contains the point (6, -2)

Juan Lowe

Juan Lowe

Answered question

2022-11-03

Find the y-intercept of the line that is parallel to 2x + 3y = 4 and contains the point (6, -2)

Answer & Explanation

apopihvj

apopihvj

Beginner2022-11-04Added 20 answers

the given equation is,
2 x + 3 y = 4
or, y = - 2 3 x + 4 3
now,let the equation of the line required be y=mx+c,where, m is the slope and c is the intercept.
Now,for both the lines to be parallel,slopes must be the same,so we get, m = - 2 3
So,the equation of the line becomes, y = - 2 3 x + c
Now,given that the line passes through point (6,−2),so putting in the equation we get,
- 2 = ( - 2 3 ) 6 + c
or, c=2
And the equation becomes, y = - 2 3 x + 2

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