Question

What is the slope of the line containing (-2,9) and (3,-1)?

Answer 1

slope is

9-(-1)/-2-3

10/(-5)

=-2

slope is -2

Answer 2

$\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}$

     What is the slope of the line containing (-2, 9) and (3, -1)?

$\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}$

We can find the slope using the following formula:-

$\boxed{\frac{y_2-y_1}{x_2-x_1}}$

$\bigstar$ substitute the numbers in lieu of the letters:-

$\boxed{\frac{-1-9}{3-(-2)}}$

$\dagger$ On simplification,

$\boxed{\frac{-10}{3+2}}$

$\dagger$ On further simplification,

$\boxed{\frac{-10}{5}}$

$\dagger$ Which simplifies to

$\boxed{Slope=-2}$

Good luck with your studies.

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