Respuesta :

Hello!

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{4-7}{(-1)-2}=\frac{-3}{-3}=1[/tex]

Slope is 1.

Final answer is 1.

*The answer must have a positive sign.*

Hope this helps!

Thanks!

Have a nice day! :)

:D

-Charlie


The slope of the line passing through the point (2, 7) and (-1, 4) exists 1.

How to find the slope of the line?

Let the two points are (2, 7) and (-1, 4).

The slope of a line that passes through the points be [tex]$\left(x_{1}, y_{1}\right)$[/tex] and [tex]$\left(x_{2}, y_{2}\right)$[/tex] exists given by

[tex]$\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]

[tex]$x_{1}=-1, y_{1}=4$[/tex] and

[tex]$x_{2}=2, y_{2}=7$[/tex]

Now, substitute the above values in the slope formula.

[tex]${data-answer}amp;m=\frac{7-4}{2-(-1)} \\[/tex]

[tex]${data-answer}amp;=\frac{7-4}{2+1}=\frac{3}{3}[/tex]

Slope m = 1

Hence, the slope of the line passing through the point exists 1.

To learn more about the slope of the line

https://brainly.com/question/13552496

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