The equation of a line is y = –4x + 1. What is the equation of the line that is parallel to the first line and passes through (–2, –1)?

Parallel lines will have the exact same slope so that means that slope of the second line will also be -4. [latex](y - y_1) = m(x - x_1) \\ m = -4 \\ y_1 = -1 \\ x_1 = -2 \\ (y - (-1)) = -4(x - (-2)) \\ y + 1 = -4(x + 2) \\ y + 1 = -4x - 8 \\ y = -4x - 9[/latex]