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

**Find The Slope Intercept Form Calculator** – One of the numerous forms that are used to depict a linear equation, among the ones most frequently found is the **slope intercept form**. The formula of the slope-intercept to solve a line equation as long as you have the slope of the straight line and the yintercept, which is the point’s y-coordinate where the y-axis crosses the line. Find out more information about this particular line equation form below.

## What Is The Slope Intercept Form?

There are three fundamental forms of linear equations: standard slope, slope-intercept and point-slope. Although they may not yield the same results , when used in conjunction, you can obtain the information line produced quicker by using this slope-intercept form. It is a form that, as the name suggests, this form uses a sloped line in which it is the “steepness” of the line indicates its value.

This formula is able to discover the slope of a straight line, the y-intercept, also known as x-intercept where you can utilize a variety formulas available. The equation for a line using this formula is **y = mx + b**. The slope of the straight line is signified through “m”, while its y-intercept is represented by “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” have to remain as variables.

## An Example of Applied Slope Intercept Form in Problems

In the real world in the real world, the slope intercept form is frequently used to represent how an item or problem evolves over its course. The value given by the vertical axis represents how the equation handles the degree of change over the value given via the horizontal axis (typically the time).

A basic example of the use of this formula is to determine how many people live in a specific area as the years go by. Using the assumption that the population in the area grows each year by a certain amount, the value of the horizontal axis increases one point at a time with each passing year and the value of the vertical axis will grow to show the rising population by the set amount.

You may also notice the starting point of a challenge. The beginning value is at the y-value of the y-intercept. The Y-intercept is the place where x is zero. Based on the example of the above problem the beginning point could be at the time the population reading begins or when the time tracking begins along with the changes that follow.

So, the y-intercept is the place when the population is beginning to be documented for research. Let’s suppose that the researcher began to perform the calculation or take measurements in 1995. Then the year 1995 will serve as considered to be the “base” year, and the x = 0 point will be observed in 1995. Therefore, you can say that the 1995 population corresponds to the y-intercept.

Linear equations that employ straight-line equations are typically solved in this manner. The starting value is depicted by the y-intercept and the change rate is represented by the slope. The primary complication of the slope-intercept form usually lies in the interpretation of horizontal variables in particular when the variable is attributed to a specific year (or any other type of unit). The first step to solve them is to ensure that you know the variables’ definitions clearly.