1. **Problem:** Find the equation of the line containing the point A(6,8) with slope $m = -3$. 2. **Formula:** The equation of a line with slope $m$ passing through point $(x_1,y_1)$ is given by: $$y - y_1 = m(x - x_1)$$ 3. **Step 1:** Substitute $m = -3$, $x_1 = 6$, and $y_1 = 8$ into the formula: $$y - 8 = -3(x - 6)$$ 4. **Step 2:** Expand the right side: $$y - 8 = -3x + 18$$ 5. **Step 3:** Add 8 to both sides: $$y = -3x + 18 + 8$$ 6. **Step 4:** Simplify: $$y = -3x + 26$$ **Final answer:** The equation of the line is $$y = -3x + 26$$ This line passes through the point (6,8) and has slope -3.