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

**Write A Linear Equation In Slope Intercept Form** – There are many forms used to represent a linear equation, among the ones most frequently used is the **slope intercept form**. You can use the formula for the slope-intercept to solve a line equation as long as that you have the slope of the straight line and the y-intercept. It is the y-coordinate of the point at the y-axis is intersected by 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, slope-intercept and point-slope. While they all provide identical results when utilized in conjunction, you can obtain the information line generated faster through an equation that uses the slope-intercept form. As the name implies, this form utilizes an inclined line, in which it is the “steepness” of the line indicates its value.

This formula is able to determine the slope of straight lines, the y-intercept, also known as x-intercept which can be calculated using a variety of formulas available. The line equation of this specific formula is **y = mx + b**. The slope of the straight line is symbolized by “m”, while its y-intercept is represented with “b”. Each point of the straight line is represented with 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 often utilized to illustrate how an item or issue evolves over its course. The value provided by the vertical axis indicates how the equation tackles the magnitude of changes in the amount of time indicated via the horizontal axis (typically in the form of time).

An easy example of using this formula is to determine the rate at which population increases in a specific area as the years go by. If the area’s population grows annually by a certain amount, the value of the horizontal axis will grow one point at a time for every passing year, and the amount of vertically oriented axis is increased to represent the growing population by the set amount.

It is also possible to note the starting point of a problem. The starting value occurs at the y value in the yintercept. The Y-intercept marks the point at which x equals zero. In the case of the above problem the starting point would be when the population reading begins or when time tracking starts along with the related changes.

So, the y-intercept is the location where the population starts to be recorded for research. Let’s say that the researcher begins to calculate or measure in 1995. This year will become considered to be the “base” year, and the x = 0 points would be in 1995. So, it is possible to say that the population of 1995 corresponds to the y-intercept.

Linear equations that employ straight-line formulas are nearly always solved this way. The initial value is depicted by the y-intercept and the rate of change is expressed through the slope. The principal issue with an interceptor slope form typically lies in the interpretation of horizontal variables particularly when the variable is linked to one particular year (or any other kind of unit). The key to solving them is to ensure that you comprehend the variables’ meanings in detail.