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

**What Is The Slope-Intercept Form Equation Of The Line That Passes Through (1** – Among the many forms that are used to depict a linear equation, the one most commonly found is the **slope intercept form**. The formula for the slope-intercept in order to identify a line equation when you have the slope of the straight line and the y-intercept. This is the point’s y-coordinate where the y-axis intersects the line. Learn more about this specific linear equation form below.

## What Is The Slope Intercept Form?

There are three primary forms of linear equations, namely the standard slope, slope-intercept and point-slope. Although they may not yield similar results when used but you are able to extract the information line generated more quickly through the slope intercept form. Like the name implies, this form utilizes the sloped line and its “steepness” of the line reflects its value.

This formula can be used to find the slope of a straight line. It is also known as the y-intercept, also known as x-intercept in which case you can use a variety of formulas that are available. The line equation of this specific formula is **y = mx + b**. The straight line’s slope is indicated in the form of “m”, while its y-intercept is signified 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” need to remain variables.

## An Example of Applied Slope Intercept Form in Problems

The real-world in the real world, the slope-intercept form is commonly used to illustrate how an item or problem evolves over its course. The value of the vertical axis demonstrates how the equation deals with the extent of changes over the amount of time indicated by the horizontal axis (typically times).

A basic example of the application of this formula is to discover the rate at which population increases within a specific region in the course of time. If the population of the area increases each year by a specific fixed amount, the value of the horizontal axis will grow by a single point with each passing year and the point values of the vertical axis will rise in proportion to the population growth according to the fixed amount.

You may also notice the starting value of a question. The beginning value is at the y’s value within the y’intercept. The Y-intercept represents the point at which x equals zero. If we take the example of the problem mentioned above the beginning point could be when the population reading begins or when time tracking starts along with the changes that follow.

Thus, the y-intercept represents the location where the population starts to be tracked to the researchers. Let’s assume that the researcher began with the calculation or measurement in 1995. In this case, 1995 will represent the “base” year, and the x = 0 points will be observed in 1995. So, it is possible to say that the 1995 population is the y-intercept.

Linear equation problems that use straight-line equations are typically solved this way. The starting point is represented by the yintercept and the rate of change is represented in the form of the slope. The principal issue with the slope-intercept form is usually in the interpretation of horizontal variables especially if the variable is associated with one particular year (or any kind number of units). The trick to overcoming them is to make sure you know the variables’ definitions clearly.