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

**Put Equation In Slope Intercept Form** – One of the many forms that are used to represent a linear equation among the ones most frequently seen is the **slope intercept form**. You may use the formula of the slope-intercept identify a line equation when you have the straight line’s slope as well as the yintercept, which is the point’s y-coordinate where the y-axis crosses the line. Find out more information about this particular line equation form below.

## What Is The Slope Intercept Form?

There are three main forms of linear equations: standard slope-intercept, the point-slope, and the standard. Even though they can provide the same results when utilized however, you can get the information line generated faster by using the slope-intercept form. The name suggests that this form utilizes an inclined line where the “steepness” of the line reflects its value.

This formula can be used to calculate the slope of a straight line. It is also known as 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 symbolized with “m”, while its y-intercept is signified by “b”. Each point of the straight line is represented by an (x, y). Note that in the y = mx + b equation formula the “x” and the “y” need to remain variables.

## An Example of Applied Slope Intercept Form in Problems

For the everyday world, the slope intercept form is often utilized to illustrate how an item or issue evolves over its course. The value of the vertical axis represents how the equation deals with the extent of changes over what is represented by the horizontal axis (typically times).

A simple example of the application of this formula is to discover how much population growth occurs in a specific area as time passes. In the event that the population in the area grows each year by a certain amount, the point values of the horizontal axis will rise by one point each year and the point values of the vertical axis is increased to show the rising population by the amount fixed.

Also, you can note the starting point of a particular problem. The beginning value is located at the y’s value within the y’intercept. The Y-intercept is the place at which x equals zero. Based on the example of the above problem the beginning point could be at the time the population reading starts or when the time tracking starts, as well as the related changes.

The y-intercept, then, is the location where the population starts to be documented to the researchers. Let’s assume that the researcher begins with the calculation or take measurements in 1995. The year 1995 would become”the “base” year, and the x = 0 points would occur in the year 1995. This means that the population in 1995 corresponds to the y-intercept.

Linear equations that use straight-line formulas are nearly always solved in this manner. The initial value is depicted by the y-intercept and the change rate is expressed through the slope. The primary complication of this form usually lies in the horizontal variable interpretation especially if the variable is accorded to a specific year (or any other type number of units). The key to solving them is to make sure you know the meaning of the variables.