Respuesta :

Answer:

-1/5

Step-by-step explanation:

Slope is given by the change in y over the change in x.

Change in y: 2-1= 1

Change in x: 5-10= -5

The slope of the line = -1/5

The slope(m) of a line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through the points (10, 1) and (5, 2)

That is, [tex]x_1 = 10, y_1 = 1, x_2 = 5, y_2 = 2[/tex]

Substituting these values into the formula:

[tex]m = \frac{2-1}{5-10} \\\\m = \frac{1}{-5} \\\\m = \frac{-1}{5}[/tex]

The slope of the line = -1/5

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