Answer:
The missing value is 4
Step-by-step explanation:
we have
[tex]y+2=-3(x-4)[/tex]
This is the equation of the line in point slope form
where
the slope is m=-3
the point is (4,-2)
we know that
If a ordered pair is a solution of the linear equation , then the ordered pair must satisfy the linear equation
we have the ordered pair (x,-2)
The missing value is the x-coordinate of the ordered pair
The ordered pair is a solution of the linear equation ---> given problem
substitute the value of y in the equation and solve for x
[tex]-2+2=-3(x-4)[/tex]
[tex]0=-3(x-4)[/tex]
[tex]0=(x-4)[/tex]
[tex]x=4[/tex]
so
the ordered pair is (4,-2)
therefore
The missing value is 4
