Answer the question. To determine the answer.

Answer:

[tex] m = \frac{8}{9} [/tex]

Step-by-step explanation:

Given:

[tex] (\frac{6}{2}, \frac{2}{3}) [/tex] and [tex] (2\frac{1}{2}, -\frac{2}{3}) [/tex]

Required:

Slope

SOLUTION:

Formula for slope is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (\frac{6}{2}, \frac{2}{3}) = (x_1, y_1) [/tex]

[tex] (2\frac{1}{2}, -\frac{2}{3}) = (x_2, y_2) [/tex]

[tex] m = \frac{-\frac{2}{3} - \frac{2}{3}}{\frac{3}{2} - \frac{6}{2}} [/tex]

[tex] m = \frac{\frac{-2 - 2}{3}}{\frac{3 - 6}{2}} [/tex]

[tex] m = \frac{\frac{-4}{3}}{\frac{-3}{2}} [/tex]

[tex] m = \frac{\frac{-4}{3}}{\frac{2}{-3}} [/tex]

[tex] m = \frac{-4(2)}{3(-3)} [/tex]

[tex] m = \frac{-8}{-9} [/tex]

[tex] m = \frac{8}{9} [/tex]

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