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

**How To Find Slope Intercept Form From A Graph** – There are many forms employed to represent a linear equation, the one most commonly encountered is the **slope intercept form**. You may use the formula for the slope-intercept to find a line equation assuming you have the straight line’s slope as well as the yintercept, which is the point’s y-coordinate where the y-axis crosses the line. Learn more about this particular line equation form below.

## What Is The Slope Intercept Form?

There are three primary forms of linear equations, namely the standard, slope-intercept, and point-slope. Even though they can provide similar results when used however, you can get the information line more quickly using the slope-intercept form. It is a form that, as the name suggests, this form uses the sloped line and the “steepness” of the line determines its significance.

This formula can be utilized to find a straight line’s slope, the y-intercept or x-intercept where you can apply different formulas that are available. The equation for a line using this particular formula is **y = mx + b**. The straight line’s slope is symbolized with “m”, while its y-intercept is indicated 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” must remain 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 show how an item or issue changes over the course of time. The value of the vertical axis is a representation of how the equation handles the degree of change over what is represented through the horizontal axis (typically time).

One simple way to illustrate the use of this formula is to find out how the population grows within a specific region as the years pass by. If the population of the area increases each year by a fixed amount, the point amount of the horizontal line increases by one point for every passing year, and the point values of the vertical axis will grow to represent the growing population by the set amount.

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 place where x is zero. By using the example of the problem mentioned above the beginning value will be the time when the reading of population begins or when the time tracking begins , along with the changes that follow.

So, the y-intercept is the point in the population that the population begins to be tracked to the researchers. Let’s assume that the researcher begins with the calculation or the measurement in 1995. In this case, 1995 will become the “base” year, and the x 0 points would be in 1995. So, it is possible to say that the 1995 population is the y-intercept.

Linear equation problems that utilize straight-line formulas can be solved this way. The beginning value is represented by the y-intercept, and the change rate is expressed through the slope. The main issue with this form typically lies in the interpretation of horizontal variables, particularly if the variable is associated with an exact year (or any other kind in any kind of measurement). The first step to solve them is to make sure you comprehend the definitions of variables clearly.