Question

*Write an equation to represent the table of values below.

Answer 1

First, we have to find the slope.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's replace the points (-10,-11) and (-8,-9).

$m=\frac{-9-(-11)}{-8-(-10)}=\frac{-9+11}{-8+10}=\frac{2}{2}=1$

Then, we use the point-slope formula to find the equation

$\begin{gathered} y-y_1=m(x-x_1) \\ \end{gathered}$

Let's replace the point (-8,-9) and the slope 1.

$\begin{gathered} y-(-9)=1(x-(-8)) \\ y+9=x+8 \\ y=x+8-9 \\ y=x-1 \end{gathered}$

Hence, the equation that represents the table is

$y=x-1$