Question

Can someone please help me?

Answer 1

-1

Option C is the correct option.

Explanation:

Let the points be A and B

A ( -2 , 7 ) -----> ( x1 , y1 )

B ( 2 , 3 )-------> ( x2 , y2)

Now, let's find the slope:

Slope =
`(y2 - y1)/(x2 - x1)`

plug the values

`= (3 - 7)/(2 - ( - 2))`

Calculate the difference

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

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

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

Add the numbers

`= ( - 4)/(4)`

Any expression divided by its opposite equals -1

`= - 1`

Hope this helps..

Best regards!!