# How do you graph # y + 1/3x = 2# by plotting points?

##### 2 Answers

Please see below.

#### Explanation:

As the coefficient of

For these corresponding values of

Hence, three points through which

graph{y+1/3x=2 [-9.92, 10.08, -3.16, 6.84]}

For an equation like this you choose two values for x and calculate y, then trace the line between these two points.

#### Explanation:

Let me choose x=0 and x=6 just because I can. Plugging these values into the equation I get that when x=0 y=2 and when x=6 y=0.

Now remember that this only works for linear functions. Also, in this particular case, because of the division by 3, it is easy to see that choosing values for x that are multiples of 3 will be easier to calculate the results, so while you CAN choose any value for x to plot, choosing the values carefully will help with the calculations. Just as another example looking at the graph, I see that:

and

You can see the tho points (0,2) and (6,0) on the graph below

graph{y+1/3x=2 [-10, 10, -5, 5]}