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

**How To Find Slope Intercept Form** – Among the many forms used to represent a linear equation, one that is commonly encountered is the **slope intercept form**. It is possible to use the formula of the slope-intercept find a line equation assuming you have the straight line’s slope , and the y-intercept. It is the coordinate of the point’s y-axis where the y-axis is intersected by the line. Learn more about this particular line equation form below.

## What Is The Slope Intercept Form?

There are three basic forms of linear equations, namely the standard, slope-intercept, and point-slope. Even though they can provide the same results when utilized but you are able to extract the information line that is produced faster with an equation that uses the slope-intercept form. The name suggests that this form uses the sloped line and the “steepness” of the line indicates its value.

The formula can be used to discover the slope of a straight line, the y-intercept or x-intercept where you can utilize a variety formulas that are available. The line equation in this formula is **y = mx + b**. The slope of the straight line is indicated by “m”, while its y-intercept is represented by “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” are treated as variables.

## An Example of Applied Slope Intercept Form in Problems

For the everyday world In the real world, the “slope intercept” form is often utilized to illustrate how an item or problem changes in an elapsed time. The value of the vertical axis represents how the equation deals with the degree of change over the value provided by the horizontal axis (typically the time).

A basic example of using this formula is to find out how much population growth occurs in a specific area as time passes. Based on the assumption that the area’s population increases yearly by a specific fixed amount, the point value of the horizontal axis will rise one point at a moment for every passing year, and the amount of vertically oriented axis will grow to show the rising population according to the fixed amount.

You can also note the beginning point of a question. The starting point is the y’s value within the y’intercept. The Y-intercept is the place at which x equals zero. Based on the example of the problem mentioned above the beginning point could be the time when the reading of population starts or when the time tracking starts, as well as the related changes.

This is the point that the population begins to be recorded by the researcher. Let’s say that the researcher begins to calculate or measure in the year 1995. In this case, 1995 will serve as the “base” year, and the x = 0 points will occur in 1995. Therefore, you can say that the population in 1995 represents the “y”-intercept.

Linear equations that employ straight-line formulas are nearly always solved in this manner. The beginning value is expressed by the y-intercept and the rate of change is represented in the form of the slope. The principal issue with an interceptor slope form usually lies in the horizontal interpretation of the variable particularly when the variable is attributed to an exact year (or any other kind or unit). The first step to solve them is to make sure you comprehend the meaning of the variables.