Question

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

Answer 1

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

Answer 2

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