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

**How To Calculate Slope Intercept Form** – There are many forms that are used to represent a linear equation, one of the most frequently found is the **slope intercept form**. You may use the formula of the slope-intercept identify a line equation when that you have the straight line’s slope as well as the y-intercept. This is the coordinate of the point’s y-axis where the y-axis crosses the line. Learn more about this specific line equation form below.

## What Is The Slope Intercept Form?

There are three primary forms of linear equations: the standard slope-intercept, the point-slope, and the standard. While they all provide the same results , when used however, you can get the information line produced more quickly through this slope-intercept form. The name suggests that this form utilizes an inclined line where you can determine the “steepness” of the line is a reflection of its worth.

The formula can be used to calculate the slope of a straight line, the y-intercept, also known as x-intercept in which case you can use a variety of formulas available. The equation for a line using this particular formula is **y = mx + b**. The slope of the straight line is symbolized with “m”, while its y-intercept is indicated by “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” must remain as variables.

## An Example of Applied Slope Intercept Form in Problems

The real-world, the slope intercept form is often utilized to show how an item or issue changes over the course of time. The value provided by the vertical axis demonstrates how the equation tackles the intensity of changes over the value provided via the horizontal axis (typically in the form of time).

An easy example of the application of this formula is to discover how the population grows in a particular area as time passes. Using the assumption that the population in the area grows each year by a specific fixed amount, the point value of the horizontal axis will rise by one point with each passing year and the point amount of vertically oriented axis will rise to show the rising population by the amount fixed.

It is also possible to note the starting 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. Based on the example of the above problem the beginning value will be at the time the population reading begins or when time tracking starts, as well as the related changes.

The y-intercept, then, is the point that the population begins to be monitored to the researchers. Let’s suppose that the researcher is beginning with the calculation or the measurement in the year 1995. Then the year 1995 will be the “base” year, and the x=0 points would be in 1995. Therefore, you can say that the population in 1995 is the y-intercept.

Linear equations that employ straight-line formulas can be solved in this manner. The starting value is expressed by the y-intercept and the change rate is represented as the slope. The principal issue with this form usually lies in the interpretation of horizontal variables particularly when the variable is attributed to the specific year (or any kind in any kind of measurement). The trick to overcoming them is to ensure that you are aware of the definitions of variables clearly.