Converting to Slope Intercept Form Calculator: A Step-by-Step Guide

When it comes to finding the equation of a line, there are several methods to choose from. One common approach is to use the point-slope form of a linear equation. In this article, we will explore how to convert slope intercept form to point slope form and provide examples to illustrate the process.

Inputting Values into Point-Slope Formula

To find the equation of a line given a slope 'm' and a point (x1, y1), you can use the point-slope formula. The first step is to input the known values for the slope 'm' and the point (x1, y1) into the point-slope formula.

y - y1 = m(x - x1)

Using the Y-Intercept as the Point

In the slope-intercept form, you always have a known point on the line: the y-intercept (0, c). This point can be used to write the equation in point-slope form.

Determining the Slope and Y-Intercept

From the equation y = mx + c, determine the values of slope 'm' and y-intercept (c).

Converting Slope Intercept Form to Point Slope Form

To convert y = mx + c to y - y1 = m(x - x1), follow these steps:

Step 1: Write down the given points of the line.

Step 2: Place the values in the point-slope formula and solve the equation.

Example: Evaluating a Linear Equation

Let's evaluate the linear equation of the line whose coordinate points are (10, 15) and (12, 20).

Step 1: Identify and write down the values.

x1 = 10, y1 = 15

Step 2: Place the values in the point-slope formula and solve the equation.

y - 15 = m(x - 10)

Example: Finding the Equation of a Line

Find the equation of a line whose known points are (2, 3) and the slope of the line is 8.

Step 1: Identify and write down the values.

x1 = 2, y1 = 3

The point-slope equation can be expressed as:

y - 3 = 8(x - 2)

In conclusion, converting slope intercept form to point slope form is a straightforward process that involves inputting known values into the point-slope formula. By following the steps outlined in this article, you can easily convert an equation from slope intercept form to point slope form and find the equation of a line given a slope 'm' and a point (x1, y1). Whether you're working with simple linear equations or more complex ones, understanding how to convert between these two forms is essential for solving problems in algebra and beyond.

Converting to slope intercept form calculator