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

**Point Slope Slope Intercept And Standard Form** – There are many forms employed to depict a linear equation, one of the most commonly used 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 , and the y-intercept, which is the y-coordinate of the point at the y-axis crosses the line. Learn more about this specific line equation form below.

## What Is The Slope Intercept Form?

There are three main forms of linear equations: standard slope-intercept, the point-slope, and the standard. Though they provide similar results when used, you can extract the information line produced more quickly with the slope-intercept form. It is a form that, as the name suggests, this form makes use of an inclined line where you can determine the “steepness” of the line reflects its value.

The formula can be used to find the slope of a straight line. It is also known as the y-intercept, also known as x-intercept in which case you can use a variety of available formulas. The equation for this line in this specific formula is **y = mx + b**. The straight line’s slope is represented through “m”, while its y-intercept is represented via “b”. Every point on the straight line is represented as an (x, y). Note that in the y = mx + b equation formula, the “x” and the “y” have to remain as variables.

## An Example of Applied Slope Intercept Form in Problems

The real-world in the real world, the slope-intercept form is frequently used to depict how an object or problem evolves over an elapsed time. The value provided by the vertical axis demonstrates how the equation deals with the magnitude of changes in what is represented via the horizontal axis (typically times).

A basic example of this formula’s utilization is to determine how much population growth occurs in a particular area as the years pass by. Based on the assumption that the area’s population grows annually by a specific fixed amount, the value of the horizontal axis will increase one point at a time as each year passes, and the amount of vertically oriented axis will rise in proportion to the population growth by the set amount.

It is also possible to note the starting point of a problem. The starting value occurs at the y-value of the y-intercept. The Y-intercept is the place where x is zero. In the case of a problem above the starting point would be at the time the population reading begins or when time tracking starts, as well as the associated changes.

The y-intercept, then, is the place that the population begins to be recorded for research. Let’s suppose that the researcher starts with the calculation or measure in the year 1995. This year will serve as considered to be the “base” year, and the x 0 points would be in 1995. This means that the population of 1995 represents the “y”-intercept.

Linear equations that employ straight-line formulas are nearly always solved this way. The beginning value is represented by the y-intercept, and the change rate is represented through the slope. The main issue with this form usually lies in the interpretation of horizontal variables particularly when the variable is accorded to an exact year (or any type or unit). The most important thing to do is to ensure that you know the variables’ meanings in detail.