Mathematics

Question

how do you write the equation of a line in slope intercept form looking at a table?​

1 Answer

  • 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!

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