Question

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

Answer 1

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

Answer 2

C

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 =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

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

m =
`(0-6)/(4-0)` =
`(-6)/(4)` = -
`(3)/(2)` , then

y = -
`(3)/(2)` x + c

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

y = -
`(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