Slope Intercept Cd7448

1. **State the problem:** Convert the equation $y + 5 = 4(x + 8)$ into slope-intercept form, which is $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept. 2. **Use the distributive property:** Expand the right side: $$y + 5 = 4 \times x + 4 \times 8$$ $$y + 5 = 4x + 32$$ 3. **Isolate $y$:** Subtract $5$ from both sides to solve for $y$: $$y + 5 - 5 = 4x + 32 - 5$$ $$y = 4x + 27$$ 4. **Final slope-intercept form:** The equation is now in the form $y = mx + b$ with slope $m = 4$ and y-intercept $b = 27$. 5. **Answer choice:** This matches option C: $y = 4x + 27$. **Final answer:** $y = 4x + 27$