1. **State the problem:** Find the equation of the line passing through points $(-9,7)$ and $(9,1)$ in point-slope form and slope-intercept form. 2. **Find the slope $m$:** Use the formula $$m=\frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{9 - (-9)} = \frac{-6}{18} = -\frac{1}{3}.$$ 3. **Write point-slope form:** Using point $(-9,7)$ and slope $m=-\frac{1}{3}$, the point-slope form is $$y - 7 = -\frac{1}{3}(x - (-9)) = -\frac{1}{3}(x + 9).$$ 4. **Convert to slope-intercept form:** Start from point-slope form: $$y - 7 = -\frac{1}{3}(x + 9)$$ Distribute: $$y - 7 = -\frac{1}{3}x - 3$$ Add 7 to both sides: $$y = -\frac{1}{3}x - 3 + 7$$ Simplify: $$y = -\frac{1}{3}x + 4.$$