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

**What Is The Equation Of The Line** – One of the many forms employed to illustrate a linear equation among the ones most commonly seen is the **slope intercept form**. You can use the formula of the slope-intercept to solve a line equation as long as that you have the straight line’s slope as well as the y-intercept. This is the point’s y-coordinate where the y-axis intersects the line. Learn more about this specific linear equation form below.

## What Is The Slope Intercept Form?

There are three main forms of linear equations, namely the standard slope-intercept, the point-slope, and the standard. Though they provide the same results when utilized however, you can get the information line produced more efficiently with the slope-intercept form. It is a form that, as the name suggests, this form employs the sloped line and the “steepness” of the line reflects its value.

The formula can be used to discover the slope of a straight line, the y-intercept, also known as x-intercept in which case you can use a variety of formulas that are available. The equation for a line using this formula is **y = mx + b**. The slope of the straight line is indicated in the form of “m”, while its y-intercept is signified through “b”. Each point of the straight line is represented with an (x, y). Note that in the y = mx + b equation formula the “x” and the “y” have to remain as variables.

## An Example of Applied Slope Intercept Form in Problems

When it comes to the actual world In the real world, the “slope intercept” form is used frequently to illustrate how an item or problem changes in an elapsed time. The value of the vertical axis represents how the equation tackles the intensity of changes over the value provided by the horizontal axis (typically times).

A simple example of the use of this formula is to discover how many people live in a particular area in the course of time. If the area’s population grows annually by a fixed amount, the point worth of horizontal scale increases by one point with each passing year and the value of the vertical axis will rise to represent the growing population by the set amount.

Also, you can note the beginning point of a question. The beginning value is at the y’s value within the y’intercept. The Y-intercept represents the point at which x equals zero. In the case of a problem above the beginning value will be at the point when the population reading starts or when the time tracking starts along with the related changes.

The y-intercept, then, is the point in the population where the population starts to be tracked by the researcher. Let’s assume that the researcher begins to do the calculation or measurement in 1995. In this case, 1995 will serve as the “base” year, and the x = 0 points would occur in the year 1995. So, it is possible to say that the population in 1995 is the y-intercept.

Linear equation problems that utilize straight-line formulas are nearly always solved this way. The beginning value is represented by the y-intercept, and the change rate is expressed through the slope. The primary complication of the slope-intercept form generally lies in the horizontal interpretation of the variable particularly when the variable is accorded to one particular year (or any type number of units). The trick to overcoming them is to ensure that you understand the variables’ definitions clearly.