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

**Point Slope To Slope Intercept Form** – One of the numerous forms that are 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 you have the straight line’s slope , and the y-intercept. It is the point’s y-coordinate where the y-axis crosses the line. Find out more information about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three fundamental forms of linear equations: standard slope-intercept, the point-slope, and the standard. Even though they can provide similar results when used but you are able to extract the information line generated faster through an equation that uses the slope-intercept form. Like the name implies, this form makes use of the sloped line and its “steepness” of the line reflects its value.

This formula is able to find a straight line’s slope, the y-intercept (also known as the x-intercept), in which case you can use a variety of formulas available. The equation for a line using this specific formula is **y = mx + b**. The straight line’s slope is indicated with “m”, while its y-intercept is indicated through “b”. Each point of the straight line is represented by 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

For the everyday world, the slope intercept form is often utilized to illustrate how an item or problem evolves over its course. The value that is provided by the vertical axis demonstrates how the equation deals with the extent of changes over the value given through the horizontal axis (typically time).

One simple way to illustrate this formula’s utilization is to discover the rate at which population increases in a certain area in the course of time. Using the assumption that the area’s population increases yearly by a specific fixed amount, the amount of the horizontal line will grow by a single point for every passing year, and the amount of vertically oriented axis will increase to show the rising population by the set amount.

Also, you can note the beginning point of a problem. The starting value occurs at the y-value of the y-intercept. The Y-intercept is the place at which x equals zero. If we take the example of the above problem the beginning value will be at the time the population reading starts or when the time tracking begins , along with the associated changes.

Thus, the y-intercept represents the location when the population is beginning to be tracked for research. Let’s say that the researcher begins to perform the calculation or the measurement in 1995. Then the year 1995 will serve as considered to be the “base” year, and the x = 0 point would occur in the year 1995. Thus, you could say that the 1995 population is the y-intercept.

Linear equations that use straight-line formulas are almost always solved in this manner. The starting value is represented by the yintercept and the change rate is expressed by the slope. The most significant issue with this form is usually in the interpretation of horizontal variables especially if the variable is associated with an exact year (or any kind of unit). The most important thing to do is to ensure that you are aware of the variables’ definitions clearly.