Linear Equation Calculator with Points

Calculate Linear Equation







Formula

The formula to calculate the linear equation from two points is:

\[ m = \frac{y2 - y1}{x2 - x1} \]

\[ b = y1 - (m \cdot x1) \]

Where:

Example

Let's say the points are (2, 3) and (4, 7). Using the formula:

\[ m = \frac{7 - 3}{4 - 2} = 2 \]

\[ b = 3 - (2 \cdot 2) = -1 \]

So, the linear equation is \( y = 2x - 1 \).

What is a Linear Equation?

A linear equation represents a straight line on a coordinate plane. It can be written in the form \( y = mx + b \), where \( m \) is the slope of the line and \( b \) is the y-intercept.