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

**Write The Linear Equation In Slope Intercept Form** – One of the numerous forms that are used to represent a linear equation, one of the most commonly used is the **slope intercept form**. You can use the formula of the slope-intercept to find a line equation assuming you have the straight line’s slope and the y-intercept. This is the y-coordinate of the point at the y-axis meets the line. Learn more about this specific line equation form below.

## What Is The Slope Intercept Form?

There are three main forms of linear equations: the traditional one, the slope-intercept one, and the point-slope. Although they may not yield the same results when utilized but you are able to extract the information line produced more efficiently through the slope intercept form. It is a form that, as the name suggests, this form employs an inclined line, in which it is the “steepness” of the line reflects its value.

This formula can be utilized to discover the slope of a straight line. It is also known as the y-intercept or x-intercept where you can apply different formulas available. The line equation in this specific formula is **y = mx + b**. The slope of the straight line is signified through “m”, while its y-intercept is represented with “b”. Each point of the straight line is represented as an (x, y). Note that in the y = mx + b equation formula, the “x” and the “y” must remain as variables.

## An Example of Applied Slope Intercept Form in Problems

In the real world, the slope intercept form is used frequently to show how an item or issue changes over the course of time. The value of the vertical axis indicates how the equation tackles the degree of change over the value given by the horizontal axis (typically the time).

A basic example of the application of this formula is to discover how the population grows in a particular area as the years go by. Using the assumption that the area’s population grows annually by a fixed amount, the point value of the horizontal axis will rise by one point for every passing year, and the worth of the vertical scale will increase to represent the growing population by the fixed amount.

Also, you can note the beginning point of a challenge. The starting value occurs at the y’s value within the y’intercept. The Y-intercept marks the point where x is zero. If we take the example of a problem above the beginning value will be at the time the population reading starts or when the time tracking starts, as well as the changes that follow.

This is the point in the population where the population starts to be recorded for research. Let’s say that the researcher starts to do the calculation or the measurement in the year 1995. Then the year 1995 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 equations that use straight-line equations are typically solved this way. The beginning value is depicted by the y-intercept and the rate of change is expressed in the form of the slope. The primary complication of an interceptor slope form generally lies in the horizontal interpretation of the variable particularly when the variable is accorded to a specific year (or any kind in any kind of measurement). The most important thing to do is to ensure that you are aware of the variables’ meanings in detail.