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

**Convert To Slope Intercept Form** – There are many forms that are used to represent a linear equation among the ones most commonly used is the **slope intercept form**. You can use the formula for the slope-intercept in order to identify a line equation when that you have the straight line’s slope as well as the y-intercept, which is the y-coordinate of the point at the y-axis intersects the line. Read more about this particular line equation form below.

## What Is The Slope Intercept Form?

There are three fundamental forms of linear equations: the standard one, the slope-intercept one, and the point-slope. Although they may not yield similar results when used in conjunction, you can obtain the information line faster through this slope-intercept form. Like the name implies, this form utilizes an inclined line where its “steepness” of the line determines its significance.

This formula can be utilized to find a straight line’s slope, y-intercept, or x-intercept, where you can utilize a variety available formulas. The line equation of this particular formula is **y = mx + b**. The straight line’s slope is symbolized with “m”, while its y-intercept is indicated by “b”. Every point on the straight line is represented as 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 in the real world, the slope intercept form is frequently used to depict how an object or problem changes in an elapsed time. The value provided by the vertical axis demonstrates how the equation tackles the intensity of changes over what is represented via the horizontal axis (typically times).

A simple example of using this formula is to discover how many people live in a particular area as the years pass by. In the event that the population in the area grows each year by a specific fixed amount, the value of the horizontal axis will rise one point at a moment with each passing year and the value of the vertical axis will rise in proportion to the population growth by the amount fixed.

You may also notice the beginning value of a problem. The starting value occurs at the y-value in the y-intercept. The Y-intercept represents the point at which x equals zero. Based on the example of a previous problem, the starting value would be when the population reading begins or when the time tracking starts along with the related changes.

So, the y-intercept is the place at which the population begins to be tracked by the researcher. Let’s say that the researcher began with the calculation or measure in the year 1995. This year will serve as the “base” year, and the x = 0 points would occur in the year 1995. So, it is possible to say that the population of 1995 corresponds to the y-intercept.

Linear equations that employ straight-line equations are typically solved in this manner. The starting value is represented by the y-intercept, and the rate of change is represented in the form of the slope. The main issue with this form generally lies in the horizontal interpretation of the variable particularly when the variable is attributed to an exact year (or any kind or unit). The key to solving them is to ensure that you comprehend the meaning of the variables.