ANSWER
D. -2x+3y=12
EXPLANATION
The given line passes through:
(0,4) and (-6,0)
These are the x and y intercepts.
The equation is given by :
[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]
where a= -6 is the x-intercept and b=4 is the y-intercept.
We substitute the values to get,
[tex]\frac{x}{ - 6} + \frac{y}{4} = 1[/tex]
Multiply through by 12,
[tex]\frac{x}{ - 6} \times 12 + \frac{y}{4} \times 12 = 1 \times 12[/tex]
[tex] - 2x + 3y = 12[/tex]
The correct answer is D .
