Question

Graph the equation.

$3x+2y=-2$

Short answer

The graph of our given equation would look like:

Step-by-step solution

Step 1. Given information.

The given equation is $3x+2y=-2$

Step 2. Calculation.

We can see that our given equation is in standard form of equation that is $Ax+By=C$.

Let us convert our given equation in slope-intercept form as:

$\begin{array}{c}3x+2y=-2\left(\text{Givenequation}\right)\\ 3x-3x+2y=-2-3x\left(\text{Subtracting}3x\text{frombothsides}\right)\\ 2y=-3x-2\\ y=-\frac{3}{2}x-1\left(\text{Dividingbothsidesby2}\right)\end{array}$

We can that slope of our given line is $-\frac{3}{2}$ and the y-intercept is at point $\left(0,-1\right)$.

Upon graphing our given equation, we will get our required graph as shown below:

Step 3. Conclusion.

The above graph is the required graph.