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

**Slope Intercept Form Of Linear Equation** – There are many forms that are used to represent a linear equation, one that is commonly found is the **slope intercept form**. You can use the formula of the slope-intercept solve a line equation as long as you have the straight line’s slope and the y-intercept. It is the point’s y-coordinate where the y-axis intersects the line. Read more about this particular line equation form below.

## What Is The Slope Intercept Form?

There are three main forms of linear equations, namely the standard, slope-intercept, and point-slope. While they all provide the same results when utilized, you can extract the information line that is produced quicker by using an equation that uses the slope-intercept form. Like the name implies, this form makes use of an inclined line, in which you can determine the “steepness” of the line determines its significance.

This formula can be used to determine the slope of a straight line. It is also known as the y-intercept or x-intercept in which case you can use a variety of available formulas. The equation for this line in this specific formula is **y = mx + b**. The slope of the straight line is represented with “m”, while its y-intercept is signified via “b”. Every point on the straight line is represented by an (x, y). Note that in the y = mx + b equation formula the “x” and the “y” need to remain variables.

## An Example of Applied Slope Intercept Form in Problems

The real-world, the slope intercept form is used frequently to illustrate how an item or issue changes over it’s course. The value given by the vertical axis is a representation of how the equation deals with the magnitude of changes in the amount of time indicated with the horizontal line (typically time).

A simple example of the application of this formula is to find out how much population growth occurs in a particular area as the years go by. Based on the assumption that the area’s population grows annually by a fixed amount, the value of the horizontal axis will rise one point at a moment for every passing year, and the point value of the vertical axis will increase to represent the growing population by the fixed amount.

Also, you can note the beginning point of a question. The starting point is the y-value of the y-intercept. The Y-intercept marks the point at which x equals zero. Based on the example of the problem mentioned above, the starting value would be at the point when the population reading begins or when time tracking begins along with the related changes.

The y-intercept, then, is the point in the population when the population is beginning to be recorded for research. Let’s say that the researcher starts to perform the calculation or the measurement in 1995. Then the year 1995 will be considered to be the “base” year, and the x=0 points would be in 1995. Therefore, you can say that the population of 1995 is the y-intercept.

Linear equations that use straight-line formulas are almost always solved in this manner. The starting value is depicted by the y-intercept and the rate of change is expressed through the slope. The primary complication of an interceptor slope form is usually in the horizontal variable interpretation, particularly if the variable is associated with one particular year (or any kind of unit). The first step to solve them is to make sure you comprehend the variables’ definitions clearly.