# How do you write an equation based on a table

Maybe one where the y is actually changing. So I'd like to pick the two points that make things a little bit simpler. So I'll pick the point 4, 2 and 7, 0. So our change in x here, if we go from 4 to 7, our change in x is equal to 3.

We can work it out.

Notice from this equation that the slope represents the change in y-value per unit of change in the x-value. That's one thing that's going to help you, and another thing that's going to be helpful for you is if you can look for the change in the table.

### How to find the equation of a polynomial from a table

So y is not changing as you change x. And then we are told a line goes through the-- OK, so same thing. So I'd like to pick the two points that make things a little bit simpler. So we'll stick it right over here. Because no matter how much we change x, y is not changing. The slope can be determined from the x and y values provided in a given table. Let's check our answer. I want to put on my scratch pad. So this is an interesting example here. A table meaning like a group of x numbers and the corresponding y numbers. So let me copy and paste this.

So when x is equal to sorry, when x is equal to y is equal to 0. Determine the Point Where the Line Crosses the Vertical Axis After solving for the slope, the next unknown to solve for is the term b, which is the y-intercept.

But they don't give us any of those.

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