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

**From Standard Form To Slope Intercept** – Among the many forms used to depict a linear equation, one of the most frequently found is the **slope intercept form**. You can use the formula of the slope-intercept to find a line equation assuming that you have the straight line’s slope , and the yintercept, which is the point’s y-coordinate where the y-axis intersects the line. Find out more information about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three basic forms of linear equations: the traditional slope-intercept, the point-slope, and the standard. Though they provide the same results , when used in conjunction, you can obtain the information line that is produced more quickly using an equation that uses the slope-intercept form. As the name implies, this form utilizes an inclined line, in which its “steepness” of the line determines its significance.

This formula can be utilized to discover the slope of a straight line. It is also known as the y-intercept (also known as the x-intercept), where you can apply different available formulas. The equation for a line using this formula is **y = mx + b**. The slope of the straight line is represented by “m”, while its y-intercept is signified by “b”. Each point of the straight line is represented by 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

For the everyday world in the real world, the slope-intercept form is commonly used to illustrate how an item or problem changes in its course. The value that is provided by the vertical axis demonstrates how the equation addresses the extent of changes over the value given by the horizontal axis (typically time).

An easy example of the application of this formula is to discover the rate at which population increases in a particular area as time passes. In the event that the area’s population increases yearly by a certain amount, the amount of the horizontal line increases by one point as each year passes, and the point worth of the vertical scale will rise to show the rising population according to the fixed amount.

You may also notice the starting point of a question. The beginning value is located at the y value in the yintercept. The Y-intercept is the place at which x equals zero. Based on the example of the problem mentioned above the beginning point could be when the population reading starts or when the time tracking starts, as well as the changes that follow.

So, the y-intercept is the point when the population is beginning to be recorded to the researchers. Let’s suppose that the researcher began to do the calculation or the measurement in 1995. This year will become”the “base” year, and the x = 0 point will be observed in 1995. So, it is possible to say that the 1995 population corresponds to the y-intercept.

Linear equations that use straight-line formulas are almost always solved this way. The beginning value is represented by the yintercept and the rate of change is represented in the form of the slope. The primary complication of the slope intercept form usually lies in the horizontal interpretation of the variable, particularly if the variable is accorded to the specific year (or any kind number of units). The key to solving them is to make sure you know the variables’ meanings in detail.