Question

What’s the answer to the picture I took?

Answer 1

Answer:

y = - x

Step-by-step explanation:

From the given table:-

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

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

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

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{ - 6( - 5)}{6 - 5} = \frac{ - 6 + 5}{1} = \frac{ - 1}{1} = - 1$

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

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

$y + 5 = - x + 5$

$y = - x + 5 - 5$

$y = - x$