Linear Equation Calculator with Slope and Point

Formula

The formula to calculate the linear equation from a slope and a point is:

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

Where:

\( m \) is the slope of the line.
\( b \) is the y-intercept of the line.
\( (x1, y1) \) is the coordinate of the point.

Example

Let's say the slope (\( m \)) is 2 and the point is (3, 4). Using the formula:

\[ b = 4 - (2 \cdot 3) = -2 \]

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

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.