Respuesta:
[tex]a)[/tex]
[tex]m = \frac{2 - 1}{1 - ( - 2)} = \frac{1}{1 + 2} = \frac{1}{3} [/tex]
[tex]2 = \frac{1}{3} \times 1 + n \\ 2 = \frac{1}{3} + n \\ 2 - \frac{1}{ 3} = n \\ \frac{5}{3} = n[/tex]
[tex] \frac{1}{3} x - y+ \frac{5}{3} = 0[/tex]
[tex]b)[/tex]
[tex]m = \frac{0 - ( - 7)}{ - 7 - 0} = \frac{7}{ - 7} = - 1[/tex]
[tex]0 = 1 \times ( - 7) + n \\ 0 = - 7 + n \\ 7 = n[/tex]
[tex] x - y + 7 = 0[/tex]
[tex]c)[/tex]
[tex]m = \frac{ - 1 - 9}{ - 1 - 1} = \frac{ - 10}{ - 2} = 5[/tex]
[tex]9 = 5 \times 1 + n \\ 9 = 5 + n \\ 9 - 5 = n \\ 4 = n[/tex]
[tex] 5x - y + 4 = 0[/tex]
[tex]d)[/tex]
[tex]m = \frac{3 - 1}{0 - 8} = \frac{2}{ - 8} = - \frac{1}{4} [/tex]
[tex]3 = - \frac{1}{4} \times 0 + n \\ 3 = 0 + n \\ 3 = n[/tex]
[tex] - \frac{1}{4} - y + 3 = 0[/tex]
[tex]e)[/tex]
[tex]m = \frac{7 - 9}{3 - 2} = \frac{ - 2}{1} = - 2[/tex]
[tex]9 = - 2 \times 2 + n \\ 9 = - 4 + n \\ 9 + 4 = n \\ 13 = n[/tex]
[tex] - 2x - y + 13 = 0[/tex]
