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

**Equation Slope Intercept Form** – There are many forms used to represent a linear equation, among the ones most frequently seen is the **slope intercept form**. The formula of the slope-intercept to find 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 is intersected by the line. Find out more information about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three basic forms of linear equations: the standard slope-intercept, the point-slope, and the standard. While they all provide the same results , when used in conjunction, you can obtain the information line produced more efficiently through an equation that uses the slope-intercept form. It is a form that, as the name suggests, this form utilizes an inclined line where you can determine the “steepness” of the line determines its significance.

This formula can be used to determine the slope of straight lines, the y-intercept or x-intercept in which case you can use a variety of formulas that are available. The equation for a line using this specific formula is **y = mx + b**. The slope of the straight line is represented in the form of “m”, while its y-intercept is indicated 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” are treated as variables.

## An Example of Applied Slope Intercept Form in Problems

For the everyday world, the slope intercept form is frequently used to illustrate how an item or issue changes over the course of time. The value given by the vertical axis represents how the equation addresses the intensity of changes over the value given through the horizontal axis (typically in the form of time).

A simple example of the use of this formula is to figure out how much population growth occurs within a specific region as the years go by. Based on the assumption that the area’s population increases yearly by a certain amount, the amount of the horizontal line will rise one point at a moment each year and the worth of the vertical scale will increase in proportion to the population growth by the amount fixed.

You may also notice the starting value of a challenge. The starting value occurs at the y-value in 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 point could be when the population reading starts or when the time tracking starts along with the related changes.

The y-intercept, then, is the point in the population when the population is beginning to be tracked in the research. Let’s suppose that the researcher starts with the calculation or take measurements in 1995. Then the year 1995 will serve as considered to be the “base” year, and the x = 0 points would be in 1995. So, it is possible to say that the 1995 population corresponds to the y-intercept.

Linear equations that use straight-line equations are typically solved this way. The starting value is expressed by the y-intercept and the change rate is expressed through the slope. The principal issue with this form is usually in the horizontal interpretation of the variable particularly when the variable is attributed to the specific year (or any other kind or unit). The most important thing to do is to ensure that you are aware of the definitions of variables clearly.