-------------------------------------------------------------------------------------------------------- Substitute slope into the general equation y = mx + b: -------------------------------------------------------------------------------------------------------- y = -4x + b
-------------------------------------------------------------------------------------------------------- Find y-intercept: -------------------------------------------------------------------------------------------------------- at point (-2, -6) -6 = -4(-2) + b -6 = 8 + b b = -6 - 8 b = -14
-------------------------------------------------------------------------------------------------------- Substitute b = -14 into the equation: -------------------------------------------------------------------------------------------------------- y = -4x + b y = -4x - 14
-------------------------------------------------------------------------------------------------------- Equation: -------------------------------------------------------------------------------------------------------- y = -4x - 14 y + 6 = -4x - 8 \\add 6 to both sides y + 6 = -4(x + 2) \\Take out common factor -4