The Slope-Intercept Form Calculator Soup: A Useful Tool for Writing Linear Equations

The slope-intercept form is a particular and widely used form for writing the equation of a line. In this blog post, we will discuss the definition of slope intercept form and learn how to determine the equation of the line by using it along with examples.

What is Slope-Intercept Form?

Slope-intercept form, also known as linear equation form, is a way of representing a linear equation in a two-dimensional coordinate plane. It defines the connection between two variables x and y in a straight line. The equation of a straight line may also be found using the slope-intercept form if two points on the line are given.

How to Determine the Equation of a Line Using Slope-Intercept Form

To determine the equation of a line using slope-intercept form, you need to know the slope and y-intercept of the line. The slope is the ratio of the vertical change to the horizontal change between two points on the line. The y-intercept is the point at which the line crosses the y-axis.

The formula for slope-intercept form is:

y = mx + b

Where m is the slope and b is the y-intercept.

Example: Suppose we have a line with a slope of 2 and a y-intercept of 3. To find the equation of this line using slope-intercept form, we would plug in these values into the formula as follows:

y = 2x + 3

This means that for every unit increase in x, y increases by 2 units.

Using Slope-Intercept Form with Examples

Let's consider an example to illustrate how to use slope-intercept form to determine the equation of a line. Suppose we have two points on a line, (1,2) and (3,5). We can use these points to find the slope and y-intercept of the line.

First, we need to find the slope by calculating the ratio of the vertical change to the horizontal change between the two points:

Slope = (5-2)/(3-1) = 3/2

Next, we need to find the y-intercept by plugging one of the points into the formula for slope-intercept form and solving for b.

y = mx + b

2 = (3/2)(1) + b

2 = 3/2 + b

b = -1/2

Now that we have found the slope and y-intercept, we can write the equation of the line using slope-intercept form:

y = (3/2)x - 1/2

This is an example of how to use slope-intercept form to determine the equation of a line.

In this blog post, we discussed the definition of slope intercept form and learned how to determine the equation of a line by using it along with examples. The slope-intercept form calculator soup is a useful tool that can be used to calculate the depreciation expense for any period.

References:

* Microsoft Excel Functions Equivalent: SLN

* Straight-Line Method Depreciation Calculator

Slope intercept form calculator soup