From the given table, we pick up two points and find the slope using the formula
[tex] m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
Points are (1,-2) and (2,-6)
Substituting these values in the formula, we will get
[tex] m=\frac{-6+2}{2-1}= -4 [/tex]
Now we will use point slope form, which is
[tex] y-y_{1}= m(x-x_{1}) [/tex]
Substituting one point and the value of m, we will get
[tex] y-(-2) = -4(x-1) [/tex]
Distributing -4 on x-1
[tex] y+2 = -4x +4 [/tex]
[tex] y = -4x +2 [/tex]
