C. [tex]m = \frac{y_{1}- y_{0}}{x_{1}- x_{0}}[/tex]
slope of line AB: [tex]m = \frac{2-0}{0 - (-2)} = \frac{2}{2} = 1[/tex]
slope of line BC: [tex]m = \frac{0-0}{-2 - 1} = 0[/tex]
slope of line AC: [tex]m = \frac{2-0}{0 - 1} = -2[/tex]
D. [tex]distance = \sqrt{(y_{1}-y_{0})^{2} + (x_{1}-x_{0})^{2}} [/tex]
distance from A to B [tex]= \sqrt{(2-0)^{2} + (0-(-2))^{2}} = \sqrt{2^{2} + 2^{2}} = \sqrt{8} = 2 \sqrt{2} [/tex]
distance from B to C [tex]= \sqrt{(0-0)^{2} + ((-2)-(1))^{2}} = \sqrt{3^{2}} = 3 [/tex]
distance form A to C [tex]= \sqrt{(2-0)^{2} + (0-1)^{2}} = \sqrt{2^{2} + 1^{2}} = \sqrt{5}[/tex]
