How Do We Form Linear Equations From a Table of Values?

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Forming linear equations from a table of values is something that you have to do in a very specific way. Find out how we form linear equations from a table of values with help from a high school math tutor in this free video clip.

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Video Transcript

Hi. I'm Charlie Kasov. I'm a math teacher and today we're going to learn how to form a linear equation from a table of values. So first, let's put a table of values on the board. We have our Xs and our Ys and we say, if X is zero, Y is negative three. If X is one, Y is negative one. If X is two, Y is one. If X is three, Y is three. So, if X is four, Y is five. So here's our table of values. Now, if we need a linear equation, we want it to conform to Y equals MX plus B, where M is the slope and B is the Y intercept. So, the Y intercept is when X equals zero, where is Y. So, that one's very simple, when X is zero, Y is negative three. So, now we now Y equals MX minus three. Now to find M, we have to do the slope formula. And the slope formula is Y2 minus Y1 over X2 minus X1. And you can use any two coordinates from the table. For now, we're going to use the first two coordinates. So we say negative three, minus negative one over zero minus one. And negative three minus negative one is negative two and zero minus one is negative one. So negative two over negative one equals positive two, so our M value equals two. So our final equation is Y equals two X minus three. So, I'm Charlie Kasov, and you've just learned how to find a linear equation from a table of values. Thanks a lot.

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