Respuesta :

Given:

The expression is given as,

[tex]-3x-2y=6[/tex]

The objective is to graph the function.

Explanation:

As the degree of the function is 1, the graph of the expression will be a straight line.

To obtain two coordinates to draw a straight line first consider x = 0 in the expression.

[tex]\begin{gathered} -3(0)-2y=6 \\ y=\frac{6}{-2} \\ y=-3 \end{gathered}[/tex]

Thus, the obtained coordinate is (0,-3).

Now, consider y = 0 in the given expression.

[tex]\begin{gathered} -3x-2(0)=6 \\ x=\frac{6}{-3} \\ x=-2 \end{gathered}[/tex]

Thus, the obtained coordinate is (-2,0)

To plot the graph:

Thus, the graph of the expression will be,

Hence, the graph of the equation is obtained.

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