Graph the line that passes through (2,-1) parallel to the line 2x+3y=6

Rhett Guerrero

Rhett Guerrero

Answered question

2022-11-15

Graph the line that passes through (2,-1) parallel to the line 2x+3y=6

Answer & Explanation

x713x9o7r

x713x9o7r

Beginner2022-11-16Added 15 answers

1. First, we manipulate the given equation into y=mx+c to find the gradient.
2 x + 3 y = 6
3 y = - 2 x + 6
y = - 2 3 x + 2
G r a d i e n t = - 2 3

Since the lines are parallel, they have the same gradient.
1/ Form an equation for the line.
Let the equation of the line be y - y 1 = m ( x - x 1 )
y - ( - 1 ) = - 2 3 ( x - 2 )
y = - 2 3 x + 1 3

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