Select the correct answer from the drop down menu. the graphed linear equation is

answer:

3x + 2y = 12

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 = (y₂ - y₁ ) / (x₂ - x₁ )

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

m = = = -

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

y = - x + 6 ← in slope- intercept form

multiply through by 2

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

3x + 2y = 12 ← in standard form