Question #75400

1 Answer
Nov 17, 2017

#y=1/3x+4#

Explanation:

To begin, rearrange this equation to slope-y intercept form

#-x+3y=6#
#3y=x+6#
#y=1/3x+6#

Parallel lines have the same slope so we can put this into our new line.
#y=1/3x+b#
Now plug in the coordinates
#5=1/3(3)+b#
#5=1+b#
#b=4#

Now here is the line
#y=1/3x+4#