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

**Point Slope Intercept Form Calculator** – Among the many forms that are used to illustrate a linear equation among the ones most commonly used is the **slope intercept form**. You may use the formula for the slope-intercept in order to determine a line equation, assuming you have the straight line’s slope , and the y-intercept. It is the y-coordinate of the point at the y-axis intersects the line. Find out more information about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three main forms of linear equations: standard slope-intercept, the point-slope, and the standard. Even though they can provide identical results when utilized in conjunction, you can obtain the information line produced faster through the slope-intercept form. As the name implies, this form employs the sloped line and its “steepness” of the line is a reflection of its worth.

This formula can be utilized to find the slope of straight lines, the y-intercept or x-intercept which can be calculated using a variety of formulas available. The equation for a line using this formula is **y = mx + b**. The slope of the straight line is represented by “m”, while its y-intercept is represented via “b”. Every point on the straight line can be represented using an (x, y). Note that in the y = mx + b equation formula, the “x” and the “y” are treated as variables.

## An Example of Applied Slope Intercept Form in Problems

In the real world, the slope intercept form is commonly used to show how an item or problem changes in the course of time. The value of the vertical axis is a representation of how the equation addresses the extent of changes over the amount of time indicated with the horizontal line (typically times).

One simple way to illustrate the application of this formula is to discover how much population growth occurs in a specific area as the years pass by. In the event that the population of the area increases each year by a predetermined amount, the point amount of the horizontal line will rise one point at a moment each year and the point values of the vertical axis is increased in proportion to the population growth according to the fixed amount.

Also, you can note the beginning point of a question. The starting point is the y-value of the y-intercept. The Y-intercept is the point at which x equals zero. Based on the example of a problem above the starting point would be when the population reading begins or when the time tracking begins , along with the changes that follow.

The y-intercept, then, is the location where the population starts to be recorded to the researchers. Let’s suppose that the researcher began with the calculation or the measurement in 1995. This year will serve as considered to be the “base” year, and the x = 0 points would be in 1995. So, it is possible to say that the 1995 population will be the “y-intercept.

Linear equation problems that use straight-line formulas are nearly always solved in this manner. The starting point is represented by the y-intercept, and the change rate is represented through the slope. The most significant issue with the slope intercept form is usually in the interpretation of horizontal variables in particular when the variable is attributed to one particular year (or any kind or unit). The first step to solve them is to make sure you are aware of the definitions of variables clearly.