Y=-4x+1

Here are the key facts about the line y = -4x + 1, useful for exams: - Slope (m): -4 (steep negative slope) - y-intercept (b): 1 (point (0, 1)) - x-intercept: set y = 0 → 0 = -4x + 1 → x = 1/4, so (1/4, 0) - Standard form: 4x + y - 1 = 0 - Domain: all real numbers; Range: all real numbers - Quick points on the line: - x = 0 → y = 1 (0, 1) - x = 1 → y = -3 (1, -3) - x = -1 → y = 5 (-1, 5) - x = 2 → y = -7 (2, -7) Sample quick problems (with solutions): - Find y when x = 5: y = -4(5) + 1 = -20 + 1 = -19. - Find x when y = -2: -2 = -4x + 1 → -3 = -4x → x = 3/4. - Equation of a line parallel to y = -4x + 1 that passes through (2, 0): y - 0 = -4(x - 2) → y = -4x + 8. If you’d like, I can create a short practice set (with answers) or help with a specific exam-style question you’re studying.