Question

Which graph best represents the line defined by the table of ordered pairs.

Answer 1

Let:

`\begin{gathered} (x1,y1)=(1,-1) \\ (x2,y2)=(3,1) \end{gathered}`

The slope m is given by:

`m=(y2-y1)/(x2-x1)=(1-(-1))/(3-1)=(2)/(2)=1`

Using the point-slope equation:

`\begin{gathered} y-y1=m(x-x1) \\ y-(-1)=1(x-1) \\ y+1=x-1 \\ y=x-1-1 \\ y=x-2 \end{gathered}`

Answer:

A