Question

That gives the equation Ax=C which is a vertical line, so the slope is undefined.For the equation Ax + By = C (where A, B, C are real numbers) what is the slope (in terms of the traditional y = mx+ b) and state any restrictions.

Help!!!

Answer 1

Ax+By = C can be solved for y to get

y = (-A/B)x + C/B

where
-A/B is the slope
C/B is the y intercept

The only restriction is that B cannot be 0. This is to avoid a division by zero error. If B is zero, then the slope is undefined and you get a vertical line like with Ax = C