The ordered pair in the coordinate plane is
x : -2 -1 0 1 2
y : -3 -1 1 3 5
First we will check whether these points are collinear or not by plotting it into two dimensional plane.
As without drawing the graph you can also check whether these points are collinear or not , as x values increases by same number i.e (+1) and y value increases by same number i.e (+2).
So, these points are collinear.
Equation of line passing through all the five points can be get by the method of equation of line passing through two points.
[tex]\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\frac{y+3}{x+2}=\frac{-1+3}{-1+2}\\\\ y+3 =2 (x+2)\\\\y +3 = 2 x + 4\\\\ 2 x -y +1=0[/tex]
