See the attached file
Explanation:
The standard form of the equation of the line is given by the form:
[tex]Ax+By=C \\ \\ \\ A>0[/tex]
So let's convert this form into slope-intercept form:
[tex]y=mx+b \\ \\ \\ m:Slope \\ \\ b:y-intercept[/tex]
So:
[tex]3x-2y=-12 \\ \\ \\ Isolating \ y: \\ \\ 2y=3x+12 \\ \\ y=\frac{3}{2}x+6[/tex]
The x-intercept is:
[tex]For \ y=0: \\ \\ \\ 0=3/2x+6 \\ \\ x=-\frac{2(6)}{3} \therefore x=4[/tex]
The y-intercept is:
[tex]For \ x=0: \\ \\ \\ y=\frac{3}{2}(0)+6 \therefore y=0[/tex]
So the lines passes through the points:
[tex](0,6) \ and \ (-4,0)[/tex]
The graph is shown below.
Learn more:
Parallelogram: https://brainly.com/question/9773214
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