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

**Calculate Slope Intercept Form** – There are many forms used to illustrate a linear equation one that is frequently seen is the **slope intercept form**. You may use the formula of the slope-intercept determine a line equation, assuming you have the straight line’s slope and the y-intercept, which is the point’s y-coordinate where the y-axis intersects 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 standard slope, slope-intercept and point-slope. Even though they can provide similar results when used but you are able to extract the information line that is produced quicker by using the slope intercept form. As the name implies, this form employs an inclined line where it is the “steepness” of the line determines its significance.

This formula can be utilized to calculate the slope of a straight line, the y-intercept or x-intercept where you can apply different available formulas. The line equation in this formula is **y = mx + b**. The straight line’s slope is signified in the form of “m”, while its intersection with the y is symbolized with “b”. Each point of the straight line can be represented using an (x, y). Note that in the y = mx + b equation formula, the “x” and the “y” have to remain as variables.

## An Example of Applied Slope Intercept Form in Problems

When it comes to the actual world In the real world, the “slope intercept” form is commonly used to represent how an item or issue changes over it’s course. The value of the vertical axis demonstrates how the equation deals with the intensity of changes over the value given via the horizontal axis (typically in the form of time).

A simple example of the use of this formula is to find out how many people live in a specific area as time passes. If the area’s population grows annually by a predetermined amount, the values of the horizontal axis increases one point at a moment as each year passes, and the values of the vertical axis is increased in proportion to the population growth by the amount fixed.

Also, you can note the starting value of a particular problem. The beginning value is at the y value in the yintercept. The Y-intercept is the place where x is zero. In the case of the problem mentioned above the starting point would be at the time the population reading begins or when time tracking begins along with the related changes.

This is the place when the population is beginning to be recorded in the research. Let’s suppose that the researcher begins with the calculation or measurement in 1995. Then the year 1995 will represent considered to be the “base” year, and the x = 0 points would be in 1995. This means that the population in 1995 will be the “y-intercept.

Linear equation problems that use straight-line formulas are almost always solved in this manner. The starting point is depicted by the y-intercept and the change rate is represented as the slope. The most significant issue with an interceptor slope form usually lies in the horizontal interpretation of the variable especially if the variable is accorded to an exact year (or any type of unit). The most important thing to do is to make sure you are aware of the variables’ meanings in detail.