Answer:
Missing value:[tex]-3[/tex]
Equation:[tex]y=-2x+1[/tex]
Step-by-step explanation:
Let the linear relationship be [tex]y=mx+b[/tex]
where b is the y-intercept.
From the table when x=0, y=1.
This means the y-intercept is 1.
Our equation now becomes:
[tex]y=mx+1[/tex]
Also when x=-1, y=3
We substitute and solve for m.
[tex]3=-m+1[/tex]
[tex]m=1-3=-2[/tex]
Hence the complete equation is [tex]y=-2x+1[/tex]
When x=2, [tex]y=-2(2)+1=-4+1=-3[/tex]
Therefore the missing value is -3
