What is the equation for the line that contains the point #(2,-3)# and is parallel to the line #2x+y=6#?

1 Answer
Adam
Mar 12, 2018

#y = -2x + 1#

Explanation:

First we convert your equation to #y = mx+c# form:
#2x+y = 6#
#y = -2x+6#
Parallel lines always share the same gradient.
Therefore we know our equation is #y = -2x + c#.
We can determine the #c# value by substituting the known #x# and #y# values.
#-3 = -4 + c#
#1 = c#
Therefore our equation is #y = -2x + 1#.

Related questions
Impact of this question
1315 views around the world
You can reuse this answer
Creative Commons License