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

**Put In Slope Intercept Form Calculator** – Among the many forms employed to represent a linear equation one that is commonly encountered is the **slope intercept form**. You may use the formula of the slope-intercept find a line equation assuming that you have the slope of the straight line and the y-intercept. It is the point’s y-coordinate at which the y-axis crosses the line. Find out more information about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three primary forms of linear equations: standard slope-intercept, the point-slope, and the standard. Even though they can provide the same results when utilized in conjunction, you can obtain the information line generated quicker using this slope-intercept form. The name suggests that this form employs an inclined line where its “steepness” of the line reflects its value.

This formula can be utilized 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 equation for a line using this specific formula is **y = mx + b**. The straight line’s slope is indicated by “m”, while its intersection with the y is symbolized through “b”. Every point on the straight line is represented by 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

When it comes to the actual world, the slope intercept form is commonly used to depict how an object or problem evolves over it’s course. The value provided by the vertical axis indicates how the equation handles the extent of changes over the amount of time indicated with the horizontal line (typically times).

One simple way to illustrate this formula’s utilization is to find out how many people live in a particular area as the years pass by. Using the assumption that the population in the area grows each year by a certain amount, the point worth of horizontal scale will grow by a single point each year and the point amount of vertically oriented axis will rise to represent the growing population by the fixed amount.

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

The y-intercept, then, is the point in the population when the population is beginning to be monitored in the research. Let’s assume that the researcher starts to do the calculation or take measurements in the year 1995. Then the year 1995 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 equations that use straight-line formulas can be solved in this manner. The starting point is represented by the y-intercept, and the change rate is represented as the slope. The main issue with the slope-intercept form generally lies in the horizontal interpretation of the variable particularly when the variable is accorded to the specific year (or any other type or unit). The first step to solve them is to make sure you are aware of the variables’ definitions clearly.