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

**Write An Equation In Slope Intercept Form Of The Line That Passes Through The Given Points** – Among the many forms used to illustrate a linear equation the one most commonly seen is the **slope intercept form**. You can use the formula of the slope-intercept to determine a line equation, assuming you have the straight line’s slope and the y-intercept. It is the point’s y-coordinate where the y-axis meets the line. Learn more about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three main forms of linear equations: the traditional, slope-intercept, and point-slope. Even though they can provide similar results when used in conjunction, you can obtain the information line produced quicker through this slope-intercept form. The name suggests that this form utilizes an inclined line, in which the “steepness” of the line determines its significance.

This formula can be used to discover the slope of a straight line. It is also known as the y-intercept or x-intercept where you can apply different formulas that are available. The line equation in this specific formula is **y = mx + b**. The straight line’s slope is signified by “m”, while its intersection with the y is symbolized with “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

When it comes to the actual world In the real world, the “slope intercept” form is commonly used to depict how an object or issue evolves over it’s course. The value given by the vertical axis demonstrates how the equation deals with the extent of changes over the value provided by the horizontal axis (typically time).

One simple way to illustrate using this formula is to discover how much population growth occurs in a particular area as the years pass by. In the event that the population of the area increases each year by a specific fixed amount, the point values of the horizontal axis will increase by a single point each year and the values of the vertical axis is increased to show the rising population by the amount fixed.

You may also notice the starting point of a question. The beginning value is located at the y-value in the y-intercept. The Y-intercept is the point where x is zero. If we take the example of the above problem the beginning point could be at the point when the population reading begins or when the time tracking begins , along with the related changes.

So, the y-intercept is the point when the population is beginning to be tracked for research. Let’s suppose that the researcher began to perform the calculation or the measurement in the year 1995. This year will represent the “base” year, and the x = 0 points will occur in 1995. This means that the population of 1995 represents the “y”-intercept.

Linear equation problems that utilize straight-line formulas are nearly always solved in this manner. The initial value is represented by the yintercept and the rate of change is expressed by the slope. The main issue with the slope-intercept form usually lies in the horizontal variable interpretation especially if the variable is associated with one particular year (or any type or unit). The most important thing to do is to make sure you comprehend the variables’ meanings in detail.