Question

What is the slope of the line shown below? (-2,3) (-4,-9)

Answer 1

6

Explanation:

Let the points be A and B

A ( - 2 , 3 ) -------> ( x1 , x2 )

B ( -4 , -9 ) -------> ( x2 , y2 )

Now, finding the slope:

`slope \: (m) = (y2 - y1)/(x2 - x1)`

Plug the values

`= ( - 9 - 3)/( - 4 - ( - 2))`

Calculate

`= ( - 12)/( - 4 - ( - 2))`

When there is a (-) in front of an expression in parentheses , change the sign of each term in expression

`= ( - 12)/( - 4 + 2)`

Calculate

`= ( - 12)/( - 2)`

Reduce the fraction with -2

`= 6`

Hope this helps..

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