Final answer:
To convert Y=-1/2x-4 to Ax+By=C form, multiply by 2 to get 2Y=-x-8, then add x to both sides for x+2Y=-8, resulting in the equation 1x+2Y=-8.
Step-by-step explanation:
To rewrite the equation Y = -1/2x - 4 in the Ax+By=C form, we need to rearrange the terms so that x and y are on the same side of the equation and the constants are on the other side.
- Multiply the entire equation by 2 to eliminate the fraction: 2Y = -x - 8.
- Next, move x to the same side as y by adding x to both sides: x + 2Y = -8.
- Last, if you prefer to have the x-term first, you can write it as 1x + 2Y = -8, which is in the desired format.
In the Ax+By=C form, your equation is 1x + 2Y = -8.