the equation of a line is given by Ax + By = C. Solve for y. A. y = C - Ax B. y=C/B -Ax/B C. y = B (C - Ax) D. y = C - Ax/B

Answer 1

To solve for $y$ in the equation of the line given by $Ax+By=C$, we need to isolate $y$.

Starting with the equation:

$$Ax+By=C$$

1. Subtract $Ax$ from both sides:

$$By=C-Ax$$

2. Now, divide both sides by $B$ to solve for $y$:

$$y=\frac{C-Ax}{B}$$

This simplifies to:

$$y=\frac{C}{B}-\frac{A}{B}x$$

Among the answer choices provided, the one that matches our derived equation is:

B. $y=\frac{C}{B}-\frac{A}{B}x$.

So the correct answer is B.