The equation of a line is given by Ax+ By = C. Solve for y

Answer 1

To solve the equation \( Ax + By = C \) for \( y \), we need to isolate \( y \) on one side of the equation. Here are the steps to do that:

1. Start with the equation: \[ Ax + By = C \]

2. Subtract \( Ax \) from both sides to isolate the term with \( y \): \[ By = C - Ax \]

3. Now, divide both sides by \( B \) (assuming \( B \neq 0 \)): \[ y = \frac{C - Ax}{B} \]

This gives you the equation of the line solved for \( y \): \[ y = -\frac{A}{B}x + \frac{C}{B} \]

Here, \( -\frac{A}{B} \) is the slope, and \( \frac{C}{B} \) is the y-intercept of the line.