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

**Slope Intercept Form To Standard Form Convert** – There are many forms used to depict a linear equation, one of the most frequently found is the **slope intercept form**. The formula of the slope-intercept find a line equation assuming that you have the straight line’s slope , and the y-intercept. It is the point’s y-coordinate where the y-axis meets the line. Read more about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three fundamental forms of linear equations: the traditional one, the slope-intercept one, and the point-slope. Even though they can provide the same results when utilized but you are able to extract the information line produced faster using the slope-intercept form. It is a form that, as the name suggests, this form utilizes an inclined line, in which it is the “steepness” of the line reflects its value.

This formula can be utilized to determine the slope of a straight line. It is also known as the y-intercept, also known as x-intercept which can be calculated using 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 signified by “m”, while its y-intercept is signified through “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” are treated 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 depict how an object or problem changes in an elapsed time. The value provided by the vertical axis is a representation of how the equation deals with the extent of changes over the value given by the horizontal axis (typically time).

A simple example of the application of this formula is to figure out how many people live in a certain area in the course of time. If the area’s population increases yearly by a predetermined amount, the point amount of the horizontal line will increase by one point for every passing year, and the worth of the vertical scale will grow to represent the growing population by the amount fixed.

You may also notice the starting value of a problem. The beginning value is located at the y’s value within the y’intercept. The Y-intercept is the place where x is zero. Based on the example of the problem mentioned above the starting point would be when the population reading begins or when time tracking begins along with the associated changes.

This is the place at which the population begins to be tracked to the researchers. Let’s assume that the researcher begins to calculate or take measurements 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 is the y-intercept.

Linear equations that employ straight-line formulas can be solved this way. The initial value is represented by the yintercept and the rate of change is represented in the form of the slope. The most significant issue with this form generally lies in the horizontal interpretation of the variable, particularly if the variable is attributed to one particular year (or any kind of unit). The trick to overcoming them is to ensure that you know the definitions of variables clearly.