Question

How do you graph `3x+3y=3` by plotting points?

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`

`(3 * 0) + 3y = 3`

`0 + 3y = 3`

`3y = 3`

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

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

Second Point: For `y = 0`

`3x + (3 * 0) = 3`

`3x + 0 = 3`

`3x = 3`

`(3x)/color(red)(3) = 3/color(red)(3)`

`x = 1` or `(1, 0)`

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

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