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

**Converting From Standard Form To Slope Intercept Form** – One of the many forms employed to illustrate a linear equation the one most commonly used is the **slope intercept form**. You may use the formula for the slope-intercept in order to solve a line equation as long as that you have the straight line’s slope and the y-intercept. This is the point’s y-coordinate at which the y-axis intersects the line. Learn more about this particular line equation form below.

## What Is The Slope Intercept Form?

There are three fundamental forms of linear equations, namely the standard one, the slope-intercept one, and the point-slope. While they all provide identical results when utilized, you can extract the information line generated more quickly with an equation that uses the slope-intercept form. Like the name implies, this form utilizes the sloped line and the “steepness” of the line determines its significance.

This formula can be utilized to discover the slope of a straight line, the y-intercept, also known as x-intercept where you can apply different formulas available. The equation for a line using this particular formula is **y = mx + b**. The straight line’s slope is symbolized in the form of “m”, while its y-intercept is signified via “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

For the everyday world in the real world, the slope-intercept form is commonly used to show how an item or problem changes in it’s course. The value provided by the vertical axis demonstrates how the equation deals with the magnitude of changes in the amount of time indicated by the horizontal axis (typically time).

A simple example of the application of this formula is to find out how many people live in a certain area as the years go by. Using the assumption that the area’s population grows annually by a fixed amount, the values of the horizontal axis will grow by one point with each passing year and the amount of vertically oriented axis will rise to show the rising population by the fixed amount.

It is also possible to note the beginning value of a question. The beginning value is located at the y-value of the y-intercept. The Y-intercept represents the point at which x equals zero. By using the example of the problem mentioned above, the starting value would be at the point when the population reading begins or when the time tracking begins along with the changes that follow.

This is the point when the population is beginning to be tracked in the research. Let’s suppose that the researcher begins with the calculation or measurement in the year 1995. The year 1995 would represent”the “base” year, and the x 0 points would occur in the year 1995. Therefore, you can say that the population in 1995 will be the “y-intercept.

Linear equation problems that use straight-line formulas can be solved in this manner. The starting point is represented by the y-intercept, and the rate of change is represented in the form of the slope. The main issue with the slope intercept form generally lies in the horizontal interpretation of the variable in particular when the variable is associated with the specific year (or any other type number of units). The first step to solve them is to ensure that you understand the meaning of the variables.