The equation of a line is :
[tex]y=mx+b[/tex]
where b is the y intercept and m is the slope. To find the slope we need to use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the first two points on the table, we have:
[tex]m=\frac{3-(-1)}{1-0}=\frac{3+1}{1}=\frac{4}{1}=4[/tex]
From the table we notice that b=-1 (the y-intercept happens when x=0).
Therefore the equation of the line is:
[tex]y=4x-1[/tex]
