Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept
1) Determine the slope (m)
To find the slope, take two points from the table, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] and plug them into the following equation to solve for m:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug m into [tex]y=mx+b[/tex] .
2) Determine the y-intercept (b)
Take any point given in the table and plug them into [tex]y=mx+b[/tex] (along with the slope that you solved for earlier) as [tex](x,y)[/tex]. Solve for b. Plug b back into [tex]y=mx+b[/tex] along with the slope.
I hope this helps!
