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

**Write The Equation Of The Line That Passes Through (1** – One of the many forms employed to depict a linear equation, the one most commonly found 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 and the y-intercept. It is the y-coordinate of the point at the y-axis meets the line. Learn more about this specific line equation form below.

## What Is The Slope Intercept Form?

There are three fundamental forms of linear equations: standard slope-intercept, the point-slope, and the standard. Even though they can provide the same results , when used but you are able to extract the information line that is produced more quickly by using the slope-intercept form. As the name implies, this form employs an inclined line, in which its “steepness” of the line is a reflection of its worth.

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 particular formula is **y = mx + b**. The straight line’s slope is symbolized through “m”, while its y-intercept is represented through “b”. Each point of the straight line is represented as 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 frequently used to illustrate how an item or issue evolves over its course. The value given by the vertical axis represents how the equation tackles the degree of change over what is represented through the horizontal axis (typically time).

One simple way to illustrate the application of this formula is to determine how many people live in a certain area as the years pass by. If the area’s population grows annually by a fixed amount, the worth of horizontal scale will rise one point at a moment for every passing year, and the point value of the vertical axis will rise to reflect the increasing population by the amount fixed.

You can also note the beginning value of a question. The starting point is the y-value in the y-intercept. The Y-intercept is the point where x is zero. By using the example of a problem above, the starting value would be at the point when the population reading begins or when time tracking starts along with the related changes.

The y-intercept, then, is the point in the population when the population is beginning to be monitored for research. Let’s suppose that the researcher starts to do the calculation or the measurement in 1995. In this case, 1995 will become the “base” year, and the x = 0 point would occur in the year 1995. Therefore, you can say that the population of 1995 is the y-intercept.

Linear equation problems that use straight-line formulas are almost always solved this way. The starting value is expressed by the y-intercept and the change rate is represented through the slope. The principal issue with this form is usually in the horizontal variable interpretation, particularly if the variable is attributed to a specific year (or any other kind of unit). The first step to solve them is to make sure you are aware of the variables’ meanings in detail.