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#
