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

**Slope Intercept Form With One Point** – One of the numerous forms employed to represent a linear equation one that is frequently encountered 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 straight line’s slope as well as the y-intercept. This is the coordinate of the point’s y-axis where the y-axis crosses the line. Read more about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three main forms of linear equations, namely the standard, slope-intercept, and point-slope. While they all provide the same results , when used however, you can get the information line that is produced faster with this slope-intercept form. As the name implies, this form makes use of a sloped line in which its “steepness” of the line determines its significance.

This formula can be used to determine the slope of straight lines, the y-intercept or x-intercept in which case you can use a variety of available formulas. The equation for this line in this specific formula is **y = mx + b**. The slope of the straight line is represented through “m”, while its intersection with the y is symbolized through “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” are treated as variables.

## An Example of Applied Slope Intercept Form in Problems

For the everyday world in the real world, the slope intercept form is commonly used to show how an item or problem changes in its course. The value given by the vertical axis is a representation of how the equation deals with the degree of change over the value provided through the horizontal axis (typically the time).

A basic example of the use of this formula is to determine the rate at which population increases in a certain area as the years pass by. If the area’s population increases yearly by a certain amount, the point value of the horizontal axis will rise one point at a moment for every passing year, and the point amount of vertically oriented axis is increased in proportion to the population growth by the fixed amount.

Also, you can note the beginning value of a problem. The beginning value is located at the y’s value within the y’intercept. The Y-intercept is the point at which x equals zero. If we take the example of a problem above the beginning point could be at the time the population reading starts or when the time tracking begins , along with the changes that follow.

So, the y-intercept is the point when the population is beginning to be monitored for research. Let’s say that the researcher is beginning to calculate or measurement in the year 1995. Then the year 1995 will be”the “base” year, and the x = 0 point would be in 1995. Thus, you could say that the population in 1995 corresponds to the y-intercept.

Linear equations that use straight-line equations are typically solved in this manner. The starting value is represented by the y-intercept, and the rate of change is expressed in the form of the slope. The main issue with the slope-intercept form generally lies in the interpretation of horizontal variables in particular when the variable is linked to a specific year (or any kind or unit). The key to solving them is to ensure that you comprehend the variables’ definitions clearly.