Each set corresponds to a point in the line. In order to get the equation of the line, we may use any of the two point then substitute it on this formula:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}x-x_1[/tex]where the subscripts 1 and 2 denotes the coordinates of points 1 and 2 respectively.
Let's take the first two sets
(0,2) and (1,7)
so x1 = 0, x2 = 1, y1= 2 and y2=7
[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}x-x_1 \\ y-2_{}=\frac{7_{}-2_{}}{1_{}-0_{}}x-0_{} \\ y-2=\frac{5}{1}x-0 \\ y-2=5x \\ y=5x+2 \\ 5x-y+2=0 \end{gathered}[/tex]Answer:
[tex]5x-y+2=0[/tex]
