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

**How To Find Slope Intercept Form With One Point** – One of the numerous forms that are used to represent a linear equation, one of the most frequently encountered is the **slope intercept form**. You may use the formula of the slope-intercept to determine a line equation, assuming you have the straight line’s slope and the yintercept, which is the point’s y-coordinate where the y-axis is intersected by the line. Learn more about this particular linear equation form below.

## What Is The Slope Intercept Form?

There are three fundamental forms of linear equations: standard, slope-intercept, and point-slope. While they all provide the same results , when used in conjunction, you can obtain the information line produced quicker through an equation that uses the slope-intercept form. It is a form that, as the name suggests, this form utilizes the sloped line and it is the “steepness” of the line is a reflection of its worth.

This formula is able to calculate 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 formulas available. The line equation in this formula is **y = mx + b**. The straight line’s slope is symbolized with “m”, while its y-intercept is indicated by “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 problem changes in an elapsed time. The value of the vertical axis demonstrates how the equation deals with the extent of changes over the value given by the horizontal axis (typically in the form of time).

An easy example of this formula’s utilization is to figure out how the population grows in a particular area in the course of time. Based on the assumption that the population of the area increases each year by a fixed amount, the amount of the horizontal line will grow by a single point each year and the point worth of the vertical scale will rise to represent the growing population by the fixed amount.

You may also notice the beginning value of a particular problem. The starting point is the y-value in the y-intercept. The Y-intercept is the point at which x equals zero. If we take the example of a problem above the starting point would be when the population reading starts or when the time tracking begins along with the associated changes.

This is the place that the population begins to be tracked in the research. Let’s assume that the researcher began to perform the calculation or measure in 1995. The year 1995 would represent”the “base” year, and the x = 0 points will occur in 1995. So, it is possible to say that the population in 1995 is the y-intercept.

Linear equations that use straight-line equations are typically solved in this manner. The initial value is represented by the y-intercept, and the change rate is expressed through the slope. The primary complication of the slope-intercept form is usually in the interpretation of horizontal variables, particularly if the variable is linked to a specific year (or any type or unit). The first step to solve them is to ensure that you are aware of the meaning of the variables.