Question

Write an equation that best describes the pattern in the table. 12 | 14 | 17 | 19 | 22 6 | 8 | 11 11 | 13 | 16 y у

Answer 1

We need two ordered pairs of the table

(12,6)=(x1,y1)

(14,8)=(x2,y2)

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{8-6}{14-12}=\frac{2}{2}=1$

the equation is

$\begin{gathered} y-6=1(x-12) \\ y=x-12+6 \\ y=x-6 \end{gathered}$

the equation is

y=x-6