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

**Write Slope Intercept Equation From 2 Points** – One of the many forms used to illustrate a linear equation the one most frequently found is the **slope intercept form**. You can use the formula for the slope-intercept in order to find a line equation assuming that you have the straight line’s slope , and the y-intercept. It 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 basic forms of linear equations, namely the standard slope-intercept, the point-slope, and the standard. Although they may not yield similar results when used but you are able to extract the information line generated more efficiently through this slope-intercept form. The name suggests that this form uses an inclined line, in which you can determine the “steepness” of the line reflects its value.

This formula can be utilized to discover the slope of a straight line, the y-intercept (also known as the x-intercept), which can be calculated using a variety of formulas available. The line equation of this specific formula is **y = mx + b**. The straight line’s slope is symbolized with “m”, while its y-intercept is represented with “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” need to remain variables.

## An Example of Applied Slope Intercept Form in Problems

In the real world, the slope intercept form is frequently used to show how an item or issue evolves over its course. The value provided by the vertical axis is a representation of how the equation handles the extent of changes over the amount of time indicated through the horizontal axis (typically time).

A simple example of the application of this formula is to figure out how much population growth occurs in a specific area as time passes. Based on the assumption that the area’s population increases yearly by a fixed amount, the point value of the horizontal axis will increase by one point as each year passes, and the point worth of the vertical scale is increased to show the rising population according to the fixed amount.

Also, you can note the beginning point of a particular problem. The beginning value is at the y-value in the y-intercept. The Y-intercept represents the point where x is zero. Based on the example of a problem above, the starting value would be at the time the population reading begins or when the time tracking begins , along with the associated changes.

So, the y-intercept is the point at which the population begins to be recorded for research. Let’s say that the researcher is beginning to calculate or the measurement in 1995. In this case, 1995 will become considered to be the “base” year, and the x=0 points will occur in 1995. Therefore, you can say that the 1995 population corresponds to the y-intercept.

Linear equation problems that use straight-line formulas are almost always solved in this manner. The starting point is expressed by the y-intercept and the rate of change is represented by the slope. The principal issue with the slope intercept form is usually in the horizontal interpretation of the variable particularly when the variable is linked to the specific year (or any other kind in any kind of measurement). The first step to solve them is to make sure you understand the meaning of the variables.