Question

How do you graph `3x+y= -2`?

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) + y = -2`

`0 + y = -2`

`y = -2` or `(0, -2)`

Second Point: For `y = 1`

`3x + 1 = -2`

`3x + 1 - color(red)(1) = -2 - color(red)(1)`

`3x + 0 = -3`

`3x = -3`

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

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

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

graph{(x^2+(y+2)^2-0.035)((x+1)^2+(y-1)^2-0.035)=0 [-10, 10, -5, 5]}

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

graph{(3x + y + 2)(x^2+(y+2)^2-0.035)((x+1)^2+(y-1)^2-0.035)=0 [-10, 10, -5, 5]}