Question

I need an answer for the attachment below:

Answer 1

`- ( 1)/(4)`

Explanation:

The line passes through points ( - 1 , 2 ) and ( 3 , 1 )

Let there points be A and B

A ( -1 , 2 ) -----> ( x1 , y1 )

B ( 3 , 1 ) -------> ( x2 , y2 )

Now, Let's find the gradient ( slope)

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

plug the values

`= (1 - 2)/(3 - ( - 1))`

Calculate the difference

`= ( - 1)/(3 - ( - 1))`

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

`= ( - 1)/(3 + 1)`

Add the numbers

`= ( - 1)/(4)`

Use
`( - a)/(b) = (a)/( - b) = - (a)/(b)` , to rewrite the fraction

`= - (1)/(4)`

Hope this helps...

Best regards!!