Question

Which of the following graphs represents the equation 3x-2y=-12

Answer 1

See the attached file

Explanation:

The standard form of the equation of the line is given by the form:

$Ax+By=C \\ \\ \\ A>0$

So let's convert this form into slope-intercept form:

$y=mx+b \\ \\ \\ m:Slope \\ \\ b:y-intercept$

So:

$3x-2y=-12 \\ \\ \\ Isolating \ y: \\ \\ 2y=3x+12 \\ \\ y=\frac{3}{2}x+6$

The x-intercept is:

$For \ y=0: \\ \\ \\ 0=3/2x+6 \\ \\ x=-\frac{2(6)}{3} \therefore x=4$

The y-intercept is:

$For \ x=0: \\ \\ \\ y=\frac{3}{2}(0)+6 \therefore y=0$

So the lines passes through the points:

$(0,6) \ and \ (-4,0)$

The graph is shown below.

Learn more:

Parallelogram: brainly.com/question/9773214

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