## Thinking Mathematically (6th Edition)

RECALL: The slope-intercept equation of a line is given as $y=mx+b$ where m = slope and b = y-intercept. The given equation $Ax+By =C$ can be written in slope-intercept form above by isolating $y$ on one side. Doing this gives: $By = -Ax + C \\y = \dfrac{-Ax+C}{B} \\y = -\dfrac{A}{B}x + \dfrac{C}{A}$ This equation has a slope of $-\dfrac{A}{B}$. Thus, the given equation has a slope of $-\dfrac{A}{B}$. Therefore, the given statement does not make sense.