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

**Write The Equation Of The Line In Slope Intercept Form** – There are many forms that are used to depict a linear equation, one of the most frequently used is the **slope intercept form**. It is possible to use the formula for the slope-intercept in order to identify a line equation when that you have the slope of the straight line and the y-intercept, which is the point’s y-coordinate where the y-axis meets the line. Find out more information about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three fundamental forms of linear equations, namely the standard slope-intercept, the point-slope, and the standard. While they all provide the same results when utilized however, you can get the information line quicker by using the slope-intercept form. The name suggests that this form uses the sloped line and its “steepness” of the line is a reflection of its worth.

This formula is able to determine a straight line’s slope, the y-intercept (also known as the x-intercept), which can be calculated using a variety of formulas available. The line equation of this particular formula is **y = mx + b**. The straight line’s slope is represented with “m”, while its y-intercept is indicated with “b”. Every point on the straight line is represented with 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, the slope intercept form is commonly used to illustrate how an item or problem evolves over the course of time. The value provided by the vertical axis represents how the equation tackles the magnitude of changes in the value provided via the horizontal axis (typically times).

A simple example of this formula’s utilization is to determine how many people live in a particular area as the years pass by. Using the assumption that the area’s population grows annually by a predetermined amount, the point amount of the horizontal line will rise one point at a moment each year and the value of the vertical axis will rise to represent the growing population by the fixed amount.

You can also note the starting value of a challenge. The starting point is the y value in the yintercept. The Y-intercept marks the point at which x equals zero. If we take the example of the above problem the beginning value will be at the point when the population reading starts or when the time tracking starts along with the changes that follow.

The y-intercept, then, is the place when the population is beginning to be recorded in the research. Let’s assume that the researcher starts with the calculation or measure in 1995. In this case, 1995 will represent considered to be the “base” year, and the x = 0 points would occur in the year 1995. Thus, you could say that the 1995 population is the y-intercept.

Linear equations that employ straight-line equations are typically solved this way. The initial value is expressed by the y-intercept and the change rate is represented through the slope. The main issue with the slope-intercept form typically lies in the interpretation of horizontal variables particularly when the variable is associated with a specific year (or any type in any kind of measurement). The first step to solve them is to make sure you comprehend the variables’ definitions clearly.