## The Definition, Formula, and Problem Example of the Slope-Intercept Form

**Graphing Slope Intercept Form Calculator** – One of the many forms used to illustrate a linear equation one of the most commonly seen is the **slope intercept form**. You can use the formula for the slope-intercept in order to find a line equation assuming you have the straight line’s slope and the yintercept, which is the point’s y-coordinate at which the y-axis meets the line. Read more about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three basic forms of linear equations: the traditional one, the slope-intercept one, and the point-slope. Even though they can provide the same results , when used however, you can get the information line more efficiently by using the slope intercept form. As the name implies, this form utilizes a sloped line in which you can determine the “steepness” of the line indicates its value.

This formula can be used to determine the slope of straight lines, the y-intercept, also known as x-intercept where you can apply different formulas that are available. The equation for this line in this specific formula is **y = mx + b**. The straight line’s slope is represented by “m”, while its y-intercept is signified by “b”. Every point on the straight line is represented by an (x, y). Note that in the y = mx + b equation formula, the “x” and the “y” are treated as variables.

## An Example of Applied Slope Intercept Form in Problems

In the real world, the slope intercept form is commonly used to show how an item or problem evolves over an elapsed time. The value given by the vertical axis represents how the equation handles the magnitude of changes in the value provided with the horizontal line (typically times).

A simple example of this formula’s utilization is to find out the rate at which population increases within a specific region in the course of time. Based on the assumption that the population in the area grows each year by a fixed amount, the amount of the horizontal line increases one point at a moment for every passing year, and the point value of the vertical axis is increased to reflect the increasing population according to the fixed amount.

You can also note the beginning value of a particular problem. The starting point is the y value in the yintercept. The Y-intercept is the place where x is zero. Based on the example of the above problem the beginning value will be when the population reading starts or when the time tracking begins along with the related changes.

This is the point in the population that the population begins to be recorded in the research. Let’s assume that the researcher begins to calculate or measurement in the year 1995. This year will serve as the “base” year, and the x 0 points would be in 1995. Therefore, you can say that the 1995 population represents the “y”-intercept.

Linear equation problems that utilize straight-line equations are typically solved this way. The starting value is represented by the yintercept and the change rate is expressed as the slope. The principal issue with the slope-intercept form typically lies in the horizontal interpretation of the variable in particular when the variable is linked to the specific year (or any other type of unit). The key to solving them is to make sure you comprehend the meaning of the variables.