equation into slope intercept form calculator

How to Convert an Equation into Slope-Intercept Form Calculator

The slope-intercept form is a widely used formula for writing the equation of a line. It is essential in simplifying the representation and interpretation of straight-line equations. In this article, we will discuss the definition of slope intercept form and learn how to determine the equation of a line by using it along with examples.

What is Slope-Intercept Form?

Slope-intercept form requires the slope 'm' and y-intercept 'b' of the line to determine the equation of a line. The formula for the slope-intercept form used to write the equation of a line is:

y = mx + b

where (x, y) represent every point on a line. m denotes the slope or steepness of the line, while b represents the point where the line crosses the y-axis.

Finding Slope-Intercept Form from Two Points

The equation of a straight line may also be found using the slope-intercept form if two points on the line are given. The mathematical expression for the slope of a line passing through two points (x1, y1) and (x2, y2) is as follows:

m = (y2 - y1) / (x2 - x1)

After rearranging the above equation, we get:

m = y2 - y1 / x2 - x1

This form defines the connection between two variables x and y in a straight line.

Slope-Intercept Form Calculator

The slope-intercept form is a way of representing a linear equation in a two-dimensional coordinate plane. It is most useful when the slope and y-intercept of the line are known. Consider a straight line with slope m and intersects the y-axis at (0, b). The slope-intercept form for linear equation with slope m and y-intercept b can be expressed as:

y = mx + b

The value of m determines the inclination of a line while the value of b represents the point where the line crosses the y-axis.

In this article, we have 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 is a particular and widely used form for writing the equation of a line. It is essential in simplifying the representation and interpretation of straight-line equations.

By using the slope-intercept form, you can easily convert an equation into its simplified form, making it easier to graph and analyze linear equations. With this calculator, you can find the slope-intercept form of any linear equation given two points or the slope and y-intercept.

Equation into slope intercept form calculator