Finding Slope, x and y Intercepts from The General Line Equation
Posted: Sun Jul 05, 2026 12:44 am
\(Given:\,\,Ax + By = C\)
\(x\,\,intercept = (\dfrac{C}{A}, 0)\)
\(y\,\,intercept = (0, \dfrac{C}{B})\)
\(Slope = -\dfrac{A}{B}\)
\(ex.\,\,a\)
\(ex.\,\,b.\)
\(ex.\,\,c.\)
\(x\,\,intercept = (\dfrac{C}{A}, 0)\)
\(y\,\,intercept = (0, \dfrac{C}{B})\)
\(Slope = -\dfrac{A}{B}\)
\(ex.\,\,a\)
\(6x + y = 7\)What is the slope of the following equation?
\(Slope = -\dfrac{A}{B} = -\dfrac{6}{1} = -6\)
\(ex.\,\,b.\)
\(3x + 2y = 9\)
\(y\,\,intercept = (0, \dfrac{C}{A}) = (0, \dfrac{9}{2}) = (0, 4.5)\)
\(ex.\,\,c.\)
\(x - 9y = 2\)
\(x\,\,intercept = (\dfrac{C}{A}, 0) = (\dfrac{2}{1}, 0) = (2, 0)\)