convert into slope intercept form calculator

How to Convert a Line into Slope-Intercept Form Calculator

The slope-intercept form of a linear equation is one of the most commonly used methods for representing a line on a graph. With this formula, you can easily find the equation of a line using the slope (m) and one point on the line. In this article, we will discuss how to convert a line into slope-intercept form calculator.

To start, let's assume that you have two points on the line, which are represented by the coordinates (x1, y1) and (x2, y2). The first step is to find the difference in x and y coordinates between these two points. This can be done using the following formulas:

Δy = y2 - y1

Δx = x2 - x1

Next, we need to evaluate the numerator and denominator of the slope formula using these values.

m = Δy / Δx

To find the difference in y coordinates, subtract the initial y value from the final y value. To find the difference in x coordinates, subtract the initial x value from the final x value.

Now that you have found the slope, you can use it to convert the line into slope-intercept form. The general equation for a line in slope-intercept form is:

y = mx + b

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

To find the y-intercept, plug one of the points on the line into this equation and solve for b. Once you have found the value of b, you can write the equation of the line in slope-intercept form.

For example, let's say that the point (x1, y1) is (2, 3) and the point (x2, y2) is (4, 5). To find the slope, we would use the formula:

m = Δy / Δx

= (5 - 3) / (4 - 2)

= 2 / 2

= 1

Now that we have found the slope, we can convert the line into slope-intercept form. Plugging in the point (2, 3), we get:

3 = 1(2) + b

b = 1

So, the equation of the line is y = x + 1.

In this article, we have discussed how to convert a line into slope-intercept form calculator. By following these simple steps, you can easily find the equation of a line using the slope and one point on the line.

Convert into slope intercept form calculator