Respuesta :

Hi student, let me help you out! :)

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We are asked to find the slope of

[tex]\star~\mathrm{(-2,5)}[/tex]

[tex]\star~\mathrm{(-1,3)}[/tex]

This can be done with the help of the slope formula:

[tex]\star~\mathrm{\cfrac{y2-y1}{x2-x1}}[/tex]

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

[tex]\mathrm{\cfrac{3-5}{-1-(-2)}}[/tex]

[tex]\mathrm{\cfrac{-2}{-1+2}}[/tex]

Upon simplifying,

[tex]\mathrm{\cfrac{-2}{1}}[/tex]

Finally,

[tex]\bigstar~\mathrm{\underline{Slope=-2}}[/tex]

Hope it helps you out! :D

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Answer: Slope = -2

Step-by-step explanation:

Slope = change in y/change in x

Slope = y2-y1/x2-x1

Substitue:

Slope = 3-5/-1-(-2)

Solve:

Slope = -2/1

Simplify:

Slope = -2