Forms of Linear Equations Write each equation in slope-intercept form; then state the slope and \( y \)-intercept. \( \qquad \) 1. \( x-y=8 \) \( \qquad \) 2. \( 3 x+y=-2 \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) 3. \( 7 x-y=1 \) \( \qquad \) 4. \( x+2 y=4 \) \( \qquad \) \( \qquad \) 5. \( 3 x+4 y=12 \) \( \qquad \) 6. \( 5 x-y=9 \) \( \qquad \) \( \qquad \) \( \qquad \) 7. \( 6 x+5 y=8 \) \( \qquad \) 8. \( x-7 y=9 \) \( \qquad \) \( \qquad \) 9. \( 12 x-5 y=10 \) \( \qquad \) 10. \( 7 x+4 y=1 \) Wh. \( \qquad \) \( \qquad \) that \( \qquad \) \( \qquad \)

To convert these equations into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these transformations: 1. For \( x - y = 8 \), rearranging gives: \( y = x - 8 \) Slope (m) = 1, y-intercept (b) = -8. 2. For \( 3x + y = -2 \), rearranging gives: \( y = -3x - 2 \) Slope (m) = -3, y-intercept (b) = -2. 3. For \( 7x - y = 1 \), rearranging gives: \( y = 7x - 1 \) Slope (m) = 7, y-intercept (b) = -1. 4. For \( x + 2y = 4 \), rearranging gives: \( y = -\frac{1}{2}x + 2 \) Slope (m) = -0.5, y-intercept (b) = 2. 5. For \( 3x + 4y = 12 \), rearranging gives: \( y = -\frac{3}{4}x + 3 \) Slope (m) = -0.75, y-intercept (b) = 3. 6. For \( 5x - y = 9 \), rearranging gives: \( y = 5x - 9 \) Slope (m) = 5, y-intercept (b) = -9. 7. For \( 6x + 5y = 8 \), rearranging gives: \( y = -\frac{6}{5}x + \frac{8}{5} \) Slope (m) = -1.2, y-intercept (b) = 1.6. 8. For \( x - 7y = 9 \), rearranging gives: \( y = \frac{1}{7}x - \frac{9}{7} \) Slope (m) = 0.142857, y-intercept (b) = -1.285714. 9. For \( 12x - 5y = 10 \), rearranging gives: \( y = \frac{12}{5}x - 2 \) Slope (m) = 2.4, y-intercept (b) = -2. 10. For \( 7x + 4y = 1 \), rearranging gives: \( y = -\frac{7}{4}x + \frac{1}{4} \) Slope (m) = -1.75, y-intercept (b) = 0.25. Now you’re all set to tackle any linear equation that comes your way! Happy graphing!