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

**Slope Intercept To Standard Form Calculator** – Among the many forms that are used to represent a linear equation one that is frequently seen is the **slope intercept form**. It is possible to use the formula for 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 at which 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 standard one, the slope-intercept one, and the point-slope. Though they provide similar results when used but you are able to extract the information line that is produced faster with an equation that uses the slope-intercept form. As the name implies, this form makes use of an inclined line where you can determine the “steepness” of the line indicates its value.

The formula can be used to calculate the slope of a straight line, the y-intercept, also known as x-intercept in which case you can use a variety of formulas available. The equation for this line in this particular formula is **y = mx + b**. The slope of the straight line is symbolized in the form of “m”, while its y-intercept is indicated with “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” need to remain 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 show how an item or issue changes over it’s course. The value that is provided by the vertical axis indicates how the equation addresses the intensity of changes over the amount of time indicated by the horizontal axis (typically time).

A basic example of this formula’s utilization is to find out how many people live within a specific region in the course of time. If the population of the area increases each year by a certain amount, the point value of the horizontal axis will grow by one point as each year passes, and the point values of the vertical axis is increased in proportion to the population growth by the amount fixed.

You can also note the starting value of a problem. The beginning value is 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 beginning value will be the time when the reading of population begins or when the time tracking begins , along with the changes that follow.

This is the point in the population where the population starts to be documented in the research. Let’s suppose that the researcher is beginning with the calculation or measurement in 1995. This year will become considered to be the “base” year, and the x = 0 points would occur in the year 1995. Thus, you could say that the population of 1995 corresponds to the y-intercept.

Linear equation problems that use straight-line formulas can be solved in this manner. The initial value is represented by the y-intercept, and the rate of change is expressed through the slope. The most significant issue with this form typically lies in the horizontal variable interpretation in particular when the variable is accorded to an exact year (or any other kind number of units). The key to solving them is to ensure that you comprehend the variables’ definitions clearly.