Linear Equation Calculator with Points

Formula

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

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

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

Where:

\( m \) is the slope of the line.
\( b \) is the y-intercept of the line.
\( (x1, y1) \) and \( (x2, y2) \) are the coordinates of the two points.

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.