1. The problem is to write the equation $y + 5 = 6(x + 7)$ in slope-intercept form, which is $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept. 2. Start by expanding the right side using the distributive property: $$y + 5 = 6x + 42$$ 3. Next, isolate $y$ by subtracting 5 from both sides: $$y = 6x + 42 - 5$$ 4. Simplify the constant terms: $$y = 6x + 37$$ 5. Now the equation is in slope-intercept form with slope $m = 6$ and y-intercept $b = 37$. Final answer: $$y = 6x + 37$$