Question

The data set +4 -1 -2 0 shows a change in number of state representatives for four states after the last census. Graph the change in number of representatives. Explain the meaning of zero in this situation.

Answer 1

The data set is

• (4,-1)
• (-2,0)

0 means it reached end.

Let's graph

`\\ \tt\longmapsto m=(0+1)/(-2-4)=(1)/(-6)`

Equation of line in point slope form

`\\ \tt\longmapsto y+1=-1/6(x-4)`

`\\ \tt\longmapsto -y-1=1/6(x-4)`

`\\ \tt\longmapsto -6y-6=x-4`

`\\ \tt\longmapsto x+6y+2=0`

Graph attached