1. **Problem 15:** Find the equation of line L passing through points (-3,4) and (3,-2). 2. Use the slope formula: $$m=\frac{y_2-y_1}{x_2-x_1}$$ where $(x_1,y_1)=(-3,4)$ and $(x_2,y_2)=(3,-2)$. 3. Calculate slope: $$m=\frac{-2-4}{3-(-3)}=\frac{-6}{3+3}=\frac{-6}{6}=-1$$ 4. Use point-slope form: $$y-y_1=m(x-x_1)$$ with $m=-1$ and point $(-3,4)$: $$y-4=-1(x+3)$$ 5. Simplify: $$y-4=-x-3$$ $$y=-x-3+4$$ $$y=-x+1$$ --- 6. **Problem 16:** Find the equation of line L passing through points (-3,-4) and (4,6). 7. Calculate slope: $$m=\frac{6-(-4)}{4-(-3)}=\frac{6+4}{4+3}=\frac{10}{7}$$ 8. Use point-slope form with $m=\frac{10}{7}$ and point $(-3,-4)$: $$y+4=\frac{10}{7}(x+3)$$ 9. Simplify: $$y+4=\frac{10}{7}x+\frac{30}{7}$$ $$y=\frac{10}{7}x+\frac{30}{7}-4$$ $$y=\frac{10}{7}x+\frac{30}{7}-\frac{28}{7}$$ $$y=\frac{10}{7}x+\frac{2}{7}$$