Respuesta :

Answer:

The answer is

[tex] - \frac{6}{7} [/tex]

Step-by-step explanation:

The slope of the line passing through two points can be found by using the formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (-2,5) and (3/2, 2)

The slope is

[tex]m = \frac{2 - 5}{ \frac{3}{2} + 2} \\ = - \frac{3}{ \frac{7}{2} } \\ = - 3 \div \frac{7}{2} \\ = - 3 \times \frac{2}{7} [/tex]

We have the final answer as

[tex] - \frac{6}{7} [/tex]

Hope this helps you

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