Respuesta :

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Use the following equation:

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

Let:

[tex](x_1 , y_1) = (4 , 4)\\(x_2 , y_2) = (9 , 6)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{6 - 4}{9 - 4} = \frac{2}{5}[/tex]

[tex]\frac{2}{5}[/tex] is your slope.

Answer:

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

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

[tex]m = \frac{change \: in \: y}{cahnge \: in \: x} [/tex]

The change in x is equal to the difference in x-coordinates  and the change in y is equal to the difference in y-coordinates.

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

Substitute in the values of x and y into the equation to find the slope.

[tex]m = \frac{4 - (6)}{4 - (9)} [/tex]

Simplify.

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

Therefor, the answer is m = 2/5.

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