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Answer: b. -2x+3y=12

Step-by-step explanation: the y intercept is 4, and the line intercepts the x- axis at -6. Therefore, the slope of the line is 4/6=2/3. The format for a linear equation is y=(slope)x+y intercept. So the equation would be y=2/3x+4. You can see that answer b simplifies to that. Add 2x from both sides of the equation and you get 3y=2x+12. Divide both sides of the equation by 3 and you get y=2/3x+4

B) -2x + 3y = 12 represents the graph.

The y-intercept is 4, and the line intercepts the x-axis at -6.

Therefore, the slope of the line is 4/6=2/3.

The format for a linear equation is y=(slope)x+y intercept.

So the equation would be y=2/3x+4.

We can see that option B simplifies that.

Adding 2x from both sides of the equation and we get 3y=2x+12.

What is an equation?

In mathematics, an equation is a system that expresses the equality of expressions, via connecting them with the equals sign =.

Learn more about the equation here: https://brainly.com/question/2972832

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