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LiRa [457]
2 years ago
6

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

Mathematics
2 answers:
Nikolay [14]2 years ago
4 0

Answer:

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

ELEN [110]2 years ago
4 0
3x+2y=12 (c) took the quiz hope this helps!!
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