Question

How do you graph the equation `x - 3y = 3`?

Answer 1

See a solution process below:

Explanation:

First, solve for two points which solve the equation and plot these points:

First Point: For `x = 0`

`0 - 3y = 3`

`-3y = 3`

`(-3y)/color(red)(-3) = 3/color(red)(-3)`

`y = -1` or `(0, -1)`

Second Point: For `x = 3`

`3 - 3y = 3`

`3 - color(red)(3) - 3y = 3 - color(red)(3)`

`0 - 3y = 0`

`-3y = 0`

`(-3y)/color(red)(-3) = 0/color(red)(-3)`

`y = 0` or `(3, 0)`

We can next plot the two points on the coordinate plane:

graph{(x^2+(y+1)^2-0.025)((x-3)^2+y^2-0.025)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(x-3y-3)(x^2+(y+1)^2-0.025)((x-3)^2+y^2-0.025)=0 [-10, 10, -5, 5]}