From the given equation and the given table, let the missing are m and b
[tex]y=mx+b[/tex]
To find them use two points from the table
Let us use point (0, -2)
[tex]\begin{gathered} x=0,y=-2 \\ -2=m(0)+b \\ -2=0+b \\ -2=b \end{gathered}[/tex]
Substitute b in the equation by -2
[tex]\begin{gathered} y=mx+(-2) \\ y=mx-2 \end{gathered}[/tex]
Now, use the point (1, 1) to find m
[tex]\begin{gathered} 1=m(1)-2 \\ 1=m-2 \end{gathered}[/tex]
Add 2 to both sides
[tex]\begin{gathered} 1+2=m-2+2 \\ 3=m \end{gathered}[/tex]
Substitute m by 3 in the equation, then
The equation is
[tex]\begin{gathered} y=3x-2 \\ y=3x+(-2) \end{gathered}[/tex]
The answer is y = 3x + (-2)
The missings are 3
