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

**Slope Intercept Form Quiz** – Among the many forms employed to represent a linear equation, one of the most commonly seen is the **slope intercept form**. You may use the formula of the slope-intercept to find a line equation assuming that you have the straight line’s slope and the y-intercept, which is the point’s y-coordinate at which the y-axis is intersected by the line. Learn more about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three primary forms of linear equations: the traditional, slope-intercept, and point-slope. Although they may not yield similar results when used but you are able to extract the information line generated more efficiently by using the slope-intercept form. The name suggests that this form uses a sloped line in which its “steepness” of the line reflects its value.

This formula is able to determine a straight line’s slope, the y-intercept (also known as the x-intercept), where you can utilize a variety formulas that are available. The equation for this line in this specific formula is **y = mx + b**. The slope of the straight line is indicated in the form of “m”, while its y-intercept is signified via “b”. Each point of 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

The real-world, the slope intercept form is commonly used to depict how an object or issue evolves over an elapsed time. The value provided by the vertical axis is a representation of how the equation deals with the degree of change over the value given via the horizontal axis (typically in the form of time).

A basic example of using this formula is to determine how the population grows in a specific area in the course of time. If the population of the area increases each year by a specific fixed amount, the point value of the horizontal axis will increase by one point with each passing year and the value of the vertical axis will grow to show the rising population according to the fixed amount.

You may also notice the starting value of a problem. The beginning value is located at the y value in the yintercept. The Y-intercept represents the point at which x equals zero. If we take the example of a previous problem the beginning value will be at the time the population reading begins or when time tracking starts, as well as the related changes.

Thus, the y-intercept represents the point in the population at which the population begins to be tracked in the research. Let’s suppose that the researcher begins to do the calculation or the measurement in 1995. The year 1995 would serve as”the “base” year, and the x = 0 point will occur in 1995. This means that the 1995 population will be the “y-intercept.

Linear equations that use straight-line formulas are almost always solved in this manner. The beginning value is expressed by the y-intercept and the change rate is expressed by the slope. The most significant issue with the slope intercept form generally lies in the horizontal interpretation of the variable especially if the variable is accorded to a specific year (or any kind number of units). The first step to solve them is to ensure that you comprehend the definitions of variables clearly.