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

**Change Equation To Slope Intercept Form** – Among the many forms that are used to illustrate a linear equation among the ones most frequently used is the **slope intercept form**. You may use the formula of the slope-intercept determine a line equation, assuming that you have the straight line’s slope and the y-intercept. It is the point’s y-coordinate at which the y-axis crosses the line. Learn more about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three basic forms of linear equations, namely the standard, slope-intercept, and point-slope. Although they may not yield the same results , when used in conjunction, you can obtain the information line more efficiently through the slope intercept form. It is a form that, as the name suggests, this form makes use of a sloped line in which its “steepness” of the line is a reflection of its worth.

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

For the everyday world, the slope intercept form is commonly used to show how an item or problem changes in it’s course. The value provided by the vertical axis indicates how the equation deals with the intensity of changes over the value provided by the horizontal axis (typically time).

A basic example of the use of this formula is to discover the rate at which population increases in a particular area as time passes. If the population in the area grows each year by a certain amount, the point worth of horizontal scale increases one point at a time for every passing year, and the point values of the vertical axis will rise in proportion to the population growth by the amount fixed.

Also, you can note the beginning point of a challenge. The beginning value is located at the y-value in the y-intercept. The Y-intercept is the point at which x equals zero. By using the example of a problem above the starting point would be at the point when the population reading begins or when the time tracking begins along with the associated changes.

So, the y-intercept is the point where the population starts to be tracked in the research. Let’s say that the researcher is beginning to perform the calculation or measure in 1995. In this case, 1995 will become”the “base” year, and the x = 0 points will be observed in 1995. Thus, you could say that the 1995 population will be the “y-intercept.

Linear equations that use straight-line formulas are almost always solved this way. The starting point is represented by the yintercept and the change rate is represented as the slope. The main issue with an interceptor slope form generally lies in the interpretation of horizontal variables, particularly if the variable is attributed to a specific year (or any type in any kind of measurement). The key to solving them is to ensure that you comprehend the variables’ definitions clearly.