Question

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

Answer 1

First, we have to find the slope.

`m=(y_2-y_1)/(x_2-x_1)`

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

`m=(-9-(-11))/(-8-(-10))=(-9+11)/(-8+10)=(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`