Respuesta :

Answer:

[tex] \sf m = \dfrac{4}{3} [/tex]

Step-by-step explanation:

Given, [tex] \sf (x_1, ~ y_1) [/tex] = (2, -5) and [tex] \sf (x_2, ~ y_2) [/tex] = (8, 3)

The slope formula is, [tex] \sf m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \sf m = \dfrac{3 - (-5)}{8 - 2} [/tex]

[tex] \sf m = \dfrac{8}{6} [/tex]

[tex] \bf m = \dfrac{4}{3} [/tex]

Answer:

[tex]\displaystyle 1\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{5 + 3}{-2 + 8} = m \hookrightarrow \frac{8}{6} = m \\ \\ \boxed{1\frac{1}{3} = m}[/tex]

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