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A. 3x-2y=-12
B.2x-3y=-12
C.3x+2y=12
D.3x+3y=-12

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3x+2y=12 (c) took the quiz hope this helps!!
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C

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = $$\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$$

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = $$\frac{0-6}{4-0}$$ = $$\frac{-6}{4}$$ = - $$\frac{3}{2}$$ , then

y = - $$\frac{3}{2}$$ x + c

the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - $$\frac{3}{2}$$ x + 6 ← equation in slope- intercept form

multiply through by 2 to clear the fraction

2y = - 3x + 12 ( add 3x to both sides )

3x + 2y = 12 ← equation in standard form
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