Question

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

A. 2
B. -2
C.-1/2
D 1/2
​

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{(y_2-y_1)/(x_2-x_1)}`

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

`\boxed{(-1-9)/(3-(-2))}`

`\dagger` On simplification,

`\boxed{(-10)/(3+2)}`

`\dagger` On further simplification,

`\boxed{(-10)/(5)}`

`\dagger` Which simplifies to

`\boxed{Slope=-2}`

Good luck with your studies.

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