How do you graph #2y - 6x = 16#?

1 Answer
Apr 29, 2018

Answer:

Simplify the equation so its in terms of y;

graph{y=3x+8 [-10, 10, -10, 10]}

Explanation:

So the equation is

#2y-6x=16#

To get the equation in terms of #y#, isolate the #y# variable by adding #6x# to both sides. Then you will have

#2y=6x+16#

To get #y# alone (without the #2# coefficient), divide by #2# on both sides, to get the equation

#y=3x+8#

Now for graphing. The equation is now in the form of

#y=mx+b#

meaning it is a linear graph (having the shape of a line), so you only need two points to create the complete graph. Plug in some easy points, like #x=0#, where the #y# value would become #8#. So one point is #(0,8)#.

Plug in another point, like #x=1#, so

#y=3+8=11#

making the second point #(1,11)#. Plot those on a graph and connect them with a straight line, giving you the correct graph of #2y-6x=16#.