Answer:
-48
Step-by-step explanation:
Take two points such as (3.-27) and (5.-41).
Find the slope from the points using the formula
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] . The setup should look like [tex]\frac{-41-(-27)}{5-3}[/tex] = -7.
Therefore, our slope is -7.
Now we can use point slope form to find an equation.
[tex]y-y_1=m(x-x_1)[/tex].
Substituting the point (3,-27) in, we get [tex]y-(-27)=-7(x-3)[/tex].
This equation simplifies to [tex]y=-7x-6[/tex].
Now that we have an equation for our table, we can insert 6 into our equation.
[tex]y=-7(6)-6=-48[/tex]
∴ When [tex]x=6, y =-48[/tex]
