Question

What’s the answer to the picture I took?

Answer 1

y = - x

Explanation:

From the given table:-

( x_1,x_2): (5,-5)

( y_1,y_2): (6,-6)

1) Let's find the slope (m):-

`m = (y_2 - y_1)/(x_2 - x_1) = ( - 6( - 5))/(6 - 5) = ( - 6 + 5)/(1) = ( - 1)/(1) = - 1`

2) Substitute x_1= 5, y_1=-5 and m=-1 into y-y_1=m(x-x_1)

`y - ( - 5) = - 1(x - 5)`

`y + 5 = - x + 5`

`y = - x + 5 - 5`

`y = - x`