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

**Graph A Line From An Equation In Slope Intercept Form** – There are many forms employed to illustrate a linear equation among the ones most commonly seen is the **slope intercept form**. The formula of the slope-intercept identify a line equation when you have the straight line’s slope as well as the y-intercept, which is the y-coordinate of the point at the y-axis meets the line. Learn more about this particular line 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 identical results when utilized, you can extract the information line produced quicker with an equation that uses the slope-intercept form. It is a form that, as the name suggests, this form utilizes a sloped line in which its “steepness” of the line determines its significance.

This formula can be used to determine the slope of a straight line, the y-intercept, also known as x-intercept which can be calculated using a variety of available formulas. The line equation in this particular formula is **y = mx + b**. The straight line’s slope is signified by “m”, while its intersection with the y is symbolized by “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” need to remain variables.

## An Example of Applied Slope Intercept Form in Problems

For the everyday world in the real world, the slope intercept form is commonly used to show how an item or issue evolves over its course. The value that is provided by the vertical axis demonstrates how the equation handles the extent of changes over the value given via the horizontal axis (typically time).

A simple example of this formula’s utilization is to figure out how the population grows in a certain area as the years pass by. Based on the assumption that the area’s population grows annually by a certain amount, the value of the horizontal axis will grow one point at a time with each passing year and the worth of the vertical scale will grow to represent the growing population according to the fixed amount.

You may also notice the beginning point of a question. The beginning value is at 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 when the population reading begins or when time tracking starts, as well as the changes that follow.

This is the point when the population is beginning to be tracked for research. Let’s suppose that the researcher began to do the calculation or measure in 1995. The year 1995 would represent the “base” year, and the x 0 points would be in 1995. Thus, you could say that the population in 1995 corresponds to the y-intercept.

Linear equation problems that utilize straight-line equations are typically solved in this manner. The beginning value is represented by the y-intercept, and the rate of change is expressed in the form of the slope. The principal issue with the slope-intercept form generally lies in the horizontal variable interpretation especially if the variable is linked to one particular year (or any other type number of units). The most important thing to do is to make sure you understand the meaning of the variables.