# How do you graph the line that passes through (2,-1) parallel to the line 2x+3y=6?

##### 1 Answer

May 5, 2018

#### Explanation:

- First, we manipulate the given equation into
#y=mx+c# to find the gradient.

#2x+3y=6#

#3y=-2x+6#

#y=-2/3x+2#

#:. Gradient =-2/3#

Since the lines are parallel, they have the same gradient.

- 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=-2/3x+1/3#