# Writing an equation based on a table

You could substitute back in. And if you wanted to relate that to the formulas that you normally see for slope, you're just looking at your end point. They've given us more than necessary. So when x is equal to sorry, when x is equal to y is equal to 0.

### Convert table to equation calculator

Y is equal to 0x plus-- and then, you could just realize that the equation of this is just that y is always equal to 2. So what is our change in x here? And I encourage you to pause the video and try it out yourself. A line equation describes the relationship between x and y values found on a coordinate plane. I just picked those two points because they have nice, clean numbers associated with it. But they don't give us any of those. Well, y is always equal to 2, no matter what thing you pick, so b is equal to 2. So y is not changing as you change x. We increased by 3. The slope can be determined from the x and y values provided in a given table. Also, the slope gives clues to the direction of the line in a coordinate plane. So the first thing we want to think about, what is the slope of this line? Find the Slope The slope of a line — represented by m — measures its steepness. Also known as slope-intercept form. 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.

So we went up from 4 to 7. So what I want you guys to keep in mind is looking for that y intercept which is what happens when x is zero. A lot of times you're given a table, sometimes pictures, sometimes a graph and you're asked to write the equation.

So this is y2 minus y1, which is negative 2 over x2 minus x1, which is 7 minus 4. So either way, this just boils down to y is equal to 0x plus 2, or y is just equal to 2.

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

Check Your Work In mathematics, it is always advisable to check your work. So your slope for this relationship is actually 0. So when x is equal to 7, I'll just do it in the same color, y is equal to 0. Well, y is always equal to 2, no matter what thing you pick, so b is equal to 2. To unlock all 5, videos, start your free trial. There are many methods we can use for writing an equation to describe a table. 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. So either way, this just boils down to y is equal to 0x plus 2, or y is just equal to 2. Find the Slope The slope of a line — represented by m — measures its steepness. So what is our change in y for given change in x?

Remember that the x and y values correspond to points on the line. So I'll pick the point 4, 2 and 7, 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. Let's check our answer. Slope-intercept form linear equations Video transcript A line goes through the following points, and the equation of that line is written in y equals mx plus b form. Rated 6/10 based on 85 review