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 :
![(x)/(a) + (y)/(b) = 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oujsrp8fxnveef31f63897zrpagv8i99kv.png)
where a= -6 is the x-intercept and b=4 is the y-intercept.
We substitute the values to get,
![(x)/( - 6) + (y)/(4) = 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8mkdys2uqkhp5opbpdqhl83942bw3nljfu.png)
Multiply through by 12,
![(x)/( - 6) * 12 + (y)/(4) * 12 = 1 * 12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cqppeqepnsyrp7d3yeove2s81vr50vaaj1.png)
![- 2x + 3y = 12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rn3rkwwu7cbte6p8rq5kve4ia1nk6cxmp1.png)
The correct answer is D .